Edit Profile (opens in new tab) Colliot-Thélène, Jean-Louis Compute Distance To: Compute Author ID: colliot-thelene.jean-louis Published as: Colliot-Thélène, Jean-Louis; Colliot-Thélène, J.-L.; Colliot-Thelene, Jean-Louis; Colliot-Thélène, Jean Louis; Colliot-Thelene, J.-L.; Colliot-Théléne, Jean-Louis; Colliot-Théléne, J.-L.; Colliot-Thélène, J. L. more...less Further Spellings: Кольё-Телэн Жан-Луи Homepage: https://www.math.u-psud.fr/~colliot/ External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · GND · IdRef · theses.fr Documents Indexed: 157 Publications since 1972, including 2 Books 2 Contributions as Editor · 9 Further Contributions Reviewing Activity: 39 Reviews Co-Authors: 62 Co-Authors with 104 Joint Publications 1,335 Co-Co-Authors all top 5 Co-Authors 61 single-authored 23 Sansuc, Jean-Jacques 17 Skorobogatov, Alexei Nikolaïevitch 13 Parimala, Raman 9 Swinnerton-Dyer, Peter 7 Suresh, Venapally 4 Harari, David 4 Ojanguren, Manuel 4 Ramdorai, Sujatha 3 Gille, Philippe 3 Harbater, David 3 Hartmann, Julia 3 Kahn, Bruno 3 Krashen, Daniel 3 Kunyavskiĭ, Boris Èmmanuilovich 3 Pirutka, Alena 3 Raskind, Wayne 3 Xu, Fei 2 Birch, Bryan John 2 Coray, Daniel François 2 Gabber, Ofer 2 Hassett, Brendan 2 Kato, Kazuya 2 Poonen, Bjorn 2 Soulé, Christophe 2 Wei, Dasheng 2 Wittenberg, Olivier 1 Auel, Asher Natan 1 Ballico, Edoardo 1 Beauville, Arnaud 1 Bonavero, Laurent 1 Borovoi, Mikhail V. 1 Boutet de Monvel, Anne Marie 1 Browning, Timothy Daniel 1 Coates, John Henry 1 Coste, Michel 1 Desjardins, Julie 1 Garibaldi, Skip 1 Guralnick, Robert Michael 1 Heath-Brown, Roger 1 Hoobler, Raymond Taylor 1 Ischebeck, Friedrich 1 Iyer, Jaya N. N. 1 Jannsen, Uwe 1 Kanevsky, Dimitri 1 Karpenko, Nikita Aleksandrovich 1 Katz, Nicholas Michael 1 Levine, Marc Noel 1 Loughran, Daniel 1 Madore, David A. 1 Mahé, Louis 1 Merel, Loïc 1 Merkur’ev, Aleksandr Sergeevich 1 Pál, Ambrus 1 Popov, Vladimir Leonidovich 1 Reichstein, Zinovy B. 1 Reid, Miles 1 Roy, Marie-Françoise 1 Saito, Shuji 1 Salberger, Per 1 Sankaran, Gregory Kumar 1 Scheiderer, Claus 1 Sridharan, Ramaiyengar 1 Starr, Jason Michael 1 Szamuely, Tamás 1 Tschinkel, Yuri 1 Van Geel, Jan 1 Voisin, Claire 1 Vojta, Paul Alan 1 Voloch, José Felipe 1 Wiegand, Roger Allen 1 Winter, Rosa all top 5 Serials 10 Journal für die Reine und Angewandte Mathematik 9 Duke Mathematical Journal 7 Comptes Rendus de l’Académie des Sciences. Série I 6 Acta Arithmetica 6 Compositio Mathematica 6 Inventiones Mathematicae 5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 4 L’Enseignement Mathématique. 2e Série 3 Bulletin de la Société Mathématique de France 3 Transactions of the American Mathematical Society 3 Annals of Mathematics. Second Series 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Gazette des Mathématiciens 2 Journal of Algebra 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Proceedings of the London Mathematical Society. Third Series 2 \(K\)-Theory 2 Journal of the American Mathematical Society 2 Journal of the Ramanujan Mathematical Society 2 Journal de Théorie des Nombres de Bordeaux 2 Izvestiya: Mathematics 2 Documenta Mathematica 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Lecture Notes in Mathematics 2 Algebraic Geometry 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of the Faculty of Science. Section I A 1 Journal of Pure and Applied Algebra 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Topology 1 IMRN. International Mathematics Research Notices 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 St. Petersburg Mathematical Journal 1 Taiwanese Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Pure and Applied Mathematics Quarterly 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Panoramas et Synthèses 1 Developments in Mathematics 1 Journal of \(K\)-Theory 1 Séminaire de Théorie des Nombres 1 European Journal of Mathematics 1 Annals of \(K\)-Theory 1 Épijournal de Géométrie Algébrique. EPIGA 1 Tunisian Journal of Mathematics all top 5 Fields 158 Algebraic geometry (14-XX) 78 Number theory (11-XX) 21 Field theory and polynomials (12-XX) 20 Group theory and generalizations (20-XX) 9 \(K\)-theory (19-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 145 Publications have been cited 2,193 times in 1,041 Documents Cited by ▼ Year ▼ La R-équivalence sur les tores. Zbl 0356.14007Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 113 1977 La descente sur les variétés rationnelles. II. (The descent on rational varieties. II). Zbl 0659.14028Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques 108 1987 Principal homogeneous spaces under flasque tori; applications. Zbl 0597.14014Colliot-Thélène, J.-L.; Sansuc, J.-J. 96 1987 Torsion dans le groupe de Chow de codimension deux. Zbl 0574.14004Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Soulé, Christophe 74 1983 A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012Kato, Kazuya 73 1986 The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène). Zbl 1039.11044Heath-Brown, D. R. 72 2002 Birational invariants, purity and the Gersten conjecture. Zbl 0834.14009Colliot-Thélène, J.-L. 58 1995 Intersections of two quadrics and Châtelet surfaces. I. Zbl 0622.14029Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 57 1987 Variétés unirationelles non rationelles: Au-delà de l’exemple d’Artin et Mumford. (Non rational unirational varieties: Beyond the Artin-Mumford example). Zbl 0686.14050Colliot-Thélène, Jean-Louis; Ojanguren, Manuel 57 1989 The Bloch-Ogus-Gabber theorem. Zbl 0911.14004Colliot-Thélène, Jean Louis; Hoobler, Raymond T.; Kahn, Bruno 56 1997 Fibres quadratiques et composantes connexes réelles. Zbl 0418.14016Colliot-Thelene, J.-L.; Sansuc, J.-J. 56 1979 Stably rational non rational varieties. (Variétés stablement rationnelles non rationnelles.) Zbl 0589.14042Beauville, Arnaud; Colliot-Théléne, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 50 1985 The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group). Zbl 1147.13002Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques 47 2007 Hilbert’s theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces. Zbl 0527.14011Colliot-Thelene, Jean-Louis 44 1983 Locally trivial principal homogeneous spaces. (Espaces principaux homogènes localement triviaux.) Zbl 0795.14029Colliot-Thélène, Jean-Louis; Ojanguren, Manuel 42 1992 On the Chow groups of certain rational surfaces: a sequel to a paper of S. Bloch. Zbl 0479.14006Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 41 1981 Unramified cohomology and the entire Hodge conjecture. (Cohomologie non ramifiée et conjecture de Hodge entière.) Zbl 1244.14010Colliot-Thélène, Jean-Louis; Voisin, Claire 39 2012 Intersections of two quadrics and Châtelet surfaces. II. Zbl 0622.14030Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 38 1987 Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms. With an appendix by Dasheng Wei and Xu. Zbl 1190.11036Colliot-Thélène, Jean-Louis; Xu, Fei 38 2009 Three-dimensional quartic threefolds: stable non-rationality. (Hypersurfaces quartiques de dimension 3: non-rationalité stable.) Zbl 1371.14028Colliot-Thélène, Jean-Louis; Pirutka, Alena 36 2016 Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves. Zbl 1332.11065Colliot-Thélène, Jean-Louis; Parimala, Raman; Suresh, Venapally 35 2012 La descente sur les variétés rationnelles. Zbl 0451.14018Colliot-Thelene, J.-L.; Sansuc, J.-J. 31 1980 Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter 31 1994 Arithmetic of linear algebraic groups over 2-dimensional geometric fields. Zbl 1129.11014Colliot-Thélène, J.-L.; Gille, P.; Parimala, R. 31 2004 L’équivalence rationnelle sur les points fermes des surfaces rationnelles fibrees en coniques. Zbl 0386.14003Colliot-Thelene, Jean-Louis; Coray, Daniel 28 1979 \(K_2\)-cohomology and the second Chow group. Zbl 0536.14004Colliot-Thélène, Jean-Louis; Raskind, Wayne 27 1985 Equivariant compactification of a torus (after Brylinski and Künnemann). Zbl 1078.14076Colliot-Théléne, J.-L.; Harari, D.; Skorobogatov, A. N. 26 2005 Flasque resolutions of linear connected groups. (Résolutions flasques des groupes linéaires connexes.) Zbl 1158.14021Colliot-Thélène, Jean-Louis 26 2008 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 24 1997 The arithmetic of the Chow group of zero-cycles. (L’arithmétique du groupe de Chow des zéro-cycles.) Zbl 0870.14002Colliot-Thélène, Jean-Louis 22 1995 Real components of algebraic varieties and étale cohomology. Zbl 0726.14013Colliot-Thélène, J.-L.; Parimala, R. 21 1990 Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050Poonen, Bjorn; Voloch, José Felipe 21 2004 Descente et principe de Hasse pour certaines variétés rationnelles. Zbl 0434.14019Colliot-Thelene, Jean-Louis; Coray, Daniel; Sansuc, Jean-Jacques 21 1980 Rational connectedness and Galois covers of the projective line. Zbl 0990.12003Colliot-Thélène, Jean-Louis 21 2000 Rational points and zero-cycles on fibred varieties: Schinzel’s hypothesis and Salberger’s device. Zbl 0883.11029Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 20 1998 Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes. Zbl 1055.14019Colliot-Thélène, J.-L.; Ojanguren, M.; Parimala, R. 20 2002 Rational points on fibrations. (Points rationnels sur les fibrations.) Zbl 1077.14029Colliot-Thélène, Jean-Louis 20 2003 Universal unramified cohomology of cubic fourfolds containing a plane. Zbl 1426.14005Auel, Asher; Colliot-Thélène, Jean-Louis; Parimala, Raman 19 2017 A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic field. (Un théorème de finitude pour le groupe de Chow des zéro-cycles d’un groupe algébrique linéaire sur un corps \(p\)-adique.) Zbl 1080.14012Colliot-Thélène, Jean-Louis 19 2005 The elementary obstruction and homogeneous spaces. Zbl 1135.14013Borovoi, M.; Colliot-Thélène, J.-L.; Skorobogatov, A. N. 17 2008 Torsion algebraic cycles and algebraic \(K\)-theory. (Cycles algébriques de torsion et \(K\)-théorie algébrique.) Zbl 0806.14002Colliot-Thélène, Jean-Louis 17 1993 Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion). Zbl 0752.14004Colliot-Thélène, Jean-Louis; Raskind, Wayne 17 1991 Algebraic families of nonzero elements of Shafarevich-Tate groups. Zbl 0951.11022Colliot-Thélène, Jean-Louis; Poonen, Bjorn 15 2000 Zero cycles on \(p\)-adic varieties and Brauer group. (Zéro-cycles sur les variétés \(p\)-adiques et groupe de Brauer.) Zbl 0878.14006Colliot-Thélène, Jean-Louis; Saito, Shuji 15 1996 Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points. Zbl 0924.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 15 1998 The Brauer-Grothendieck group. Zbl 1490.14001Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 15 2021 Galois descent on the Brauer group. (Descente galoisienne sur le groupe de Brauer.) Zbl 1317.14042Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 14 2013 Brauer group and integral points of two families of affine cubic surfaces. (Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines.) Zbl 1295.14020Colliot-Thélène, Jean-Louis; Wittenberg, Olivier 14 2012 Arithmetic on some singular cubic hypersurfaces. Zbl 0638.14011Colliot-Thélène, Jean-Louis; Salberger, Per 14 1989 Chow groups of zero cycles on pencils of quadrics. (Groupe de Chow des zéro-cycles sur les fibrés en quadriques.) Zbl 0837.14002Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 14 1993 Torseurs sous des groupes de type multiplicatif; applications à l’étude des points rationnels de certaines variétés algébriques. Zbl 0337.14014Sansuc, Jean-Jacques; Colliot-Thelene, Jean-Louis 14 1976 Values of a polynomial of one variable represented by a norm. (Valeurs d’un polynôme à une variable représentées par une norme.) Zbl 1087.14016Colliot-Thélène, J.-L.; Harari, D.; Skorobogatov, A. N. 14 2003 Exponent and index of nonramified central simple algebras (with an appendix by Ofer Gabber). (Exposant et indice d’algèbres simples centrales non ramifiées (avec un appendice par Ofer Gabber).) Zbl 1047.16007Colliot-Thélène, Jean-Louis 14 2002 Good reduction of the Brauer-Manin obstruction. Zbl 1317.14046Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 13 2013 Arithmétique des surfaces cubiques diagonales. (Arithmetic of diagonal cubic surfaces). Zbl 0639.14018Colliot-Thélène, Jean-Louis; Kanevsky, Dimitri; Sansuc, Jean-Jacques 13 1987 Zero-cycles and cohomology on real algebraic varieties. Zbl 0882.14016Colliot-Thélène, J.-L.; Scheiderer, C. 13 1996 Strong approximation for the total space of certain quadric fibrations. Zbl 1328.11060Colliot-Thélène, Jean-Louis; Xu, Fei 13 2013 Local-global type conjectures on the image of Chow groups in étale cohomology. (Conjectures de type local-global sur l’image des groupes de Chow dans la cohomologie étale.) Zbl 0981.14003Colliot-Thélène, Jean-Louis 13 1999 Descent on fibrations over P\(^1_k\) revisited. Zbl 1024.14003Colliot-Thélène, J.-L.; Skorobogatov, A. N. 13 2000 Unramified Brauer group of homogeneous spaces of tori. (Groupe de Brauer non ramifié d’espaces homogènes de tores.) Zbl 1318.14019Colliot-Thélène, Jean-Louis 12 2014 The arithmetic of rational varieties. (L’arithmétique des variétés rationnelles.) Zbl 0787.14012Colliot-Thélène, Jean-Louis 12 1992 L’équivalence rationnelle sur les cycles de dimension zéro des variétés algébriques réelles. Zbl 0472.14016Colliot-Thelene, Jean-Louis; Ischebeck, Friedrich 12 1981 Duality and local-global principle for tori on a curve over \(\mathbb{C}((t))\). (Dualité et principe local-global pour les tores sur une courbe au-dessus de \(\mathbb{C}((t))\).) Zbl 1391.11070Colliot-Thélène, Jean-Louis; Harari, David 12 2015 Del Pezzo surfaces without rational points on a field of cohomological dimension one. (Surfaces de del Pezzo sans point rationnel sur un corps de dimension cohomologique un.) Zbl 1056.14030Colliot-Thélène, Jean-Louis; Madore, David A. 12 2004 Picard group and Brauer group of smooth compactifications of homogeneous spaces. (Groupe de Picard et groupe de Brauer des compactifications lisses d’espaces homogènes.) Zbl 1203.11035Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris È. 11 2006 Unramified Witt groups of real anisotropic quadrics. Zbl 0827.11022Colliot-Thélène, J.-L.; Sujatha, R. 10 1995 La descente sur une variété rationnelle definie sur un corps de nombres. Zbl 0349.14015Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 10 1977 Formes quadratiques sur les anneaux semi-locaux réguliers. Zbl 0407.10018Colliot-Thélène, Jean-Louis 10 1979 Sur le principe de Hasse et l’approximation faible, et sur une hypothèse de Schinzel. Zbl 0414.10009Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 10 1982 Cycles of codimension 2 and unramified \(H^3\) for varieties over finite fields. (Cycles de codimension 2 et \(H^3\) non ramifié pour les variétés sur les corps finis.) Zbl 1263.19004Colliot-Thélène, Jean-Louis; Kahn, Bruno 10 2013 Cyclic covers that are not stably rational. Zbl 1375.14053Colliot-Thélène, Jean-Louis; Pirutka, Alena V. 10 2016 Linear groups on the function fields of real curves. (Groupes linéaires sur les corps de fonctions de courbes réelles.) Zbl 0847.11017Colliot-Thélène, Jean Louis 9 1996 Nearly rational varieties, their rational points and their degeneracies. (Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences.) Zbl 1231.14015Colliot-Thélène, Jean-Louis 8 2011 Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? Zbl 1218.14010Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris; Popov, Vladimir L.; Reichstein, Zinovy 8 2011 Sommes de carrés dans les corps de fonctions. (Sums of squares in function fields). Zbl 0743.11020Colliot-Thélène, Jean-Louis; Jannsen, Uwe 8 1991 Non-ramified Brauer group of principal homogeneous spaces of linear groups. (Groupe de Brauer non ramifié des espaces principaux homogènes de groupes linéaires.) Zbl 0929.14008Colliot-Thélène, J.-L.; Kunyavskiĭ, B. È. 8 1998 Cohomologie des groupes de type multiplicatif sur les schemas réguliers. Zbl 0399.14011Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 8 1978 Strong approximation in families. (Approximation forte en famille.) Zbl 1334.14014Colliot-Thélène, Jean-Louis; Harari, David 8 2016 Galois cohomology of Henselian discrete valuation fields, after K. Kato and S. Bloch. (Cohomologie galoisienne des corps valués discrets henseliens, d’après K. Kato et S. Bloch.) Zbl 0976.11053Colliot-Thélène, Jean-Louis 8 1999 Pathologies of the Brauer-Manin obstruction. Zbl 1365.14025Colliot-Thélène, Jean-Louis; Pál, Ambrus; Skorobogatov, Alexei N. 8 2016 Arithmétique des variétés rationelles et problèmes birationnels. (Arithmetic of rational varieties and birational problems). Zbl 0698.14060Colliot-Thélène, Jean-Louis 7 1987 Remarks on weak approximation over a function field of one variable. (Remarques sur l’approximation faible sur un corps de fonctions d’une variable.) Zbl 1201.11066Colliot-Thélène, Jean-Louis; Gille, Philippe 7 2004 Local-global principle for the zero-cycles on ruled surfaces. (Principe local-global pour les zéro-cycles sur les surfaces réglées.) Zbl 0972.14001Colliot-Thélène, Jean-Louis 7 2000 Rational surfaces and the canonical dimension of \(\mathrm{PGL}_6\). Zbl 1206.14070Colliot-Thélène, J.-L.; Karpenko, N. A.; Merkur’ev, A. S. 7 2008 On the reciprocity law for surfaces over finite fields. Zbl 0595.14015Colliot-Thélène, Jean-Louis; Raskind, Wayne 7 1986 Formes quadratiques multiplicatives et variétés algébriques. Zbl 0386.14012Colliot-Thélène, Jean-Louis 7 1978 Higher reciprocity laws and rational points. (Lois de réciprocité supérieures et points rationnels.) Zbl 1360.11068Colliot-Thélène, J.-L.; Parimala, R.; Suresh, V. 7 2016 Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber). Zbl 1349.14052Kahn, Bruno; Sujatha, R. 7 2015 Rational points on cubic hypersurfaces that split off a form. Zbl 1198.14021Browning, T. D.; Colliot-Thélène, J.-L. 6 2010 On the Tate conjecture on \(\mathbb Z_\ell\) coefficients for varieties over finite fields. (Autour de la conjecture de Tate à coefficients \(\mathbb Z_\ell\) pour les variétés sur les corps finis.) Zbl 1316.14009Colliot-Thélène, Jean-Louis; Szamuely, Tamás 6 2010 La descente sur les surfaces rationnelles fibrées en coniques. (Descent on rational surfaces fibered in conics). Zbl 0596.14016Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques 6 1986 Variétés de premiere descente attachees aux variétés rationnelles. Zbl 0349.14026Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques 6 1977 Surfaces rationnelles fibrées en coniques de degré 4. (Rational surfaces fibered in conics of degree 4). Zbl 0731.14033Colliot-Thélène, Jean-Louis 6 1990 À propos d’une conjecture arithmétique sur le groupe de Chow d’une surface rationnelle. (Avec un paragraphe par Jean-Louis Colliot- Thélène). Zbl 0538.14002Sansuc, Jean-Jacques 6 1982 Unramified Brauer group of quotients by a finite group. (Groupe de Brauer non ramifié de quotients par un groupe fini.) Zbl 1351.14010Colliot-Thélène, J.-L. 5 2014 On the reciprocity sequence in the higher class field theory of function fields. Zbl 0885.19002Colliot-Thélène, J.-L. 5 1993 The Hasse principle in a pencil of algebraic varieties. Zbl 0910.14008Colliot-Thélène, J.-L. 5 1998 Weak approximation for algebraic tori quite fails. (Quelques questions d’approximation faible pour les tores algébriques.) Zbl 1125.20035Colliot-Thélène, Jean-Louis; Suresh, Venapally 5 2007 Rationality of a tapered fiber. (Rationalité d’un fibré en coniques.) Zbl 1333.14044Colliot-Thélène, Jean-Louis 5 2015 Multiplicative groups of fields modulo products of subfields. Zbl 0846.12003Colliot-Thélène, J.-L.; Guralnick, R. M.; Wiegand, R. 5 1996 The Brauer-Grothendieck group. Zbl 1490.14001Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 15 2021 Rationality of complete intersections of two quadrics over nonclosed fields. Zbl 1495.14024Hassett, Brendan; Tschinkel, Yuri; Colliot-Thélène, Jean-Louis 1 2021 Local-global principles for tori over arithmetic curves. Zbl 1468.11097Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally 2 2020 Brauer-Manin obstruction for Markoff surfaces. Zbl 1478.11091Colliot-Thélène, Jean-Louis; Wei, Dasheng; Xu, Fei 2 2020 Zero-cycles on del Pezzo surfaces. Variations on a theme by Daniel Coray. (Zéro-cycles sur les surfaces de Del Pezzo (Variations sur un thème de Daniel Coray).) Zbl 1479.14031Colliot-Thélène, Jean-Louis 1 2020 Generic point and Mordell-Weil rank jump. (Point générique et saut du rang du groupe de Mordell-Weil.) Zbl 1460.14096Colliot-Thélène, Jean-Louis 1 2020 Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields. Zbl 1440.14035Colliot-Thélène, J.-L.; Harbater, D.; Hartmann, J.; Krashen, D.; Parimala, R.; Suresh, V. 3 2019 Unramified cohomology in a product with an elliptic curve. (Cohomologie non ramifiée dans le produit avec une courbe elliptique.) Zbl 1423.14058Colliot-Thélène, J.-L. 2 2019 Stable non-rationality on any body. (Non rationalité stable sur les corps quelconques.) Zbl 1442.14049Colliot-Thélène, Jean-Louis 1 2019 Introduction to work of Hassett-Pirutka-Tschinkel and Schreieder. Zbl 1436.14024Colliot-Thélène, Jean-Louis 1 2019 Strong approximation for semi-simple homogenenous groups over the field of functions of a complex algebraic curve. (Approximation forte pour les espaces homogènes de groupes semi-simples sur le corps des fonctions d’une courbe algébrique complexe.) Zbl 1401.20054Colliot-Thélène, Jean-Louis 2 2018 Third unramified cohomology group of a cubic threefold over a function field in one variable. (Troisième groupe de cohomologie non ramifiée d’un solide cubique sur un corps de fonctions d’une variable.) Zbl 1419.14012Colliot-Thélène, Jean-Louis; Pirutka, Alena 1 2018 Universal unramified cohomology of cubic fourfolds containing a plane. Zbl 1426.14005Auel, Asher; Colliot-Thélène, Jean-Louis; Parimala, Raman 19 2017 Universal \(\text{CH}_0\)-triviality of almost diagonal cubic hypersurfaces. (\(\text{CH}_0\)-trivialité universelle d’hypersurfaces cubiques presque diagonales.) Zbl 1401.14074Colliot-Thélène, Jean-Louis 4 2017 Norms of lines on cubic surfaces. (Normes de droites sur les surfaces cubiques.) Zbl 1402.14028Colliot-Thélène, J.-L.; Loughran, Daniel 1 2017 Three-dimensional quartic threefolds: stable non-rationality. (Hypersurfaces quartiques de dimension 3: non-rationalité stable.) Zbl 1371.14028Colliot-Thélène, Jean-Louis; Pirutka, Alena 36 2016 Cyclic covers that are not stably rational. Zbl 1375.14053Colliot-Thélène, Jean-Louis; Pirutka, Alena V. 10 2016 Strong approximation in families. (Approximation forte en famille.) Zbl 1334.14014Colliot-Thélène, Jean-Louis; Harari, David 8 2016 Pathologies of the Brauer-Manin obstruction. Zbl 1365.14025Colliot-Thélène, Jean-Louis; Pál, Ambrus; Skorobogatov, Alexei N. 8 2016 Higher reciprocity laws and rational points. (Lois de réciprocité supérieures et points rationnels.) Zbl 1360.11068Colliot-Thélène, J.-L.; Parimala, R.; Suresh, V. 7 2016 Duality and local-global principle for tori on a curve over \(\mathbb{C}((t))\). (Dualité et principe local-global pour les tores sur une courbe au-dessus de \(\mathbb{C}((t))\).) Zbl 1391.11070Colliot-Thélène, Jean-Louis; Harari, David 12 2015 Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber). Zbl 1349.14052Kahn, Bruno; Sujatha, R. 7 2015 Rationality of a tapered fiber. (Rationalité d’un fibré en coniques.) Zbl 1333.14044Colliot-Thélène, Jean-Louis 5 2015 Galois descent on the second Chow group: development and applications. (Descente galoisienne sur le second groupe de Chow: mise au point et applications.) Zbl 1352.14005Colliot-Thélène, Jean-Louis 4 2015 The complement of \(n\)th powers in a number field is a Diophantine set. (Le complémentaire des puissances \(n\)-ièmes dans un corps de nombres est un ensemble diophantien.) Zbl 1346.14066Colliot-Thélène, Jean-Louis; van Geel, Jan 3 2015 A calculation of the Brauer group and an arithmetical application. (Un calcul de groupe de Brauer et une application arithmétique.) Zbl 1356.14016Colliot-Thélène, Jean-Louis 1 2015 Unramified Brauer group of homogeneous spaces of tori. (Groupe de Brauer non ramifié d’espaces homogènes de tores.) Zbl 1318.14019Colliot-Thélène, Jean-Louis 12 2014 Unramified Brauer group of quotients by a finite group. (Groupe de Brauer non ramifié de quotients par un groupe fini.) Zbl 1351.14010Colliot-Thélène, J.-L. 5 2014 Galois descent on the Brauer group. (Descente galoisienne sur le groupe de Brauer.) Zbl 1317.14042Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 14 2013 Good reduction of the Brauer-Manin obstruction. Zbl 1317.14046Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 13 2013 Strong approximation for the total space of certain quadric fibrations. Zbl 1328.11060Colliot-Thélène, Jean-Louis; Xu, Fei 13 2013 Cycles of codimension 2 and unramified \(H^3\) for varieties over finite fields. (Cycles de codimension 2 et \(H^3\) non ramifié pour les variétés sur les corps finis.) Zbl 1263.19004Colliot-Thélène, Jean-Louis; Kahn, Bruno 10 2013 Unramified cohomology and the entire Hodge conjecture. (Cohomologie non ramifiée et conjecture de Hodge entière.) Zbl 1244.14010Colliot-Thélène, Jean-Louis; Voisin, Claire 39 2012 Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves. Zbl 1332.11065Colliot-Thélène, Jean-Louis; Parimala, Raman; Suresh, Venapally 35 2012 Brauer group and integral points of two families of affine cubic surfaces. (Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines.) Zbl 1295.14020Colliot-Thélène, Jean-Louis; Wittenberg, Olivier 14 2012 Some cases of the vanishing of the third unramified cohomology group. (Quelques cas d’annulation du troisième groupe de cohomologie non ramifiée.) Zbl 1254.14010Colliot-Thélène, Jean-Louis 2 2012 Nearly rational varieties, their rational points and their degeneracies. (Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences.) Zbl 1231.14015Colliot-Thélène, Jean-Louis 8 2011 Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action? Zbl 1218.14010Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris; Popov, Vladimir L.; Reichstein, Zinovy 8 2011 Chow group of zero-cycles on \(p\)-adic varieties (after S. Saito, K. Sato et al.). (Groupe de Chow des zéro-cycles sur les variétés \(p\)-adiques (d’après S. Saito, K. Sato et al.).) Zbl 1364.14004Colliot-Thélène, Jean-Louis 4 2011 Rational points on cubic hypersurfaces that split off a form. Zbl 1198.14021Browning, T. D.; Colliot-Thélène, J.-L. 6 2010 On the Tate conjecture on \(\mathbb Z_\ell\) coefficients for varieties over finite fields. (Autour de la conjecture de Tate à coefficients \(\mathbb Z_\ell\) pour les variétés sur les corps finis.) Zbl 1316.14009Colliot-Thélène, Jean-Louis; Szamuely, Tamás 6 2010 Zero-cycles of degree 1 on Poonen threefolds. (Zéro-cycles de degré 1 sur les solides de Poonen.) Zbl 1205.11075Colliot-Thélène, Jean-Louis 4 2010 A version of the Amer-Brumer theorem for zero cycles. (Une version du théorème d’Amer et Brumer pour les zéro-cycles.) Zbl 1217.14006Colliot-Thélène, Jean-Louis; Levine, Marc 2 2010 Quadratic forms, linear algebraic groups, and cohomology. Based on the conference to celebrate the 60th birthday of Raman Parimala, Hyderabad, India, December 30, 2008–January 4, 2009. Zbl 1197.00053 1 2010 Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms. With an appendix by Dasheng Wei and Xu. Zbl 1190.11036Colliot-Thélène, Jean-Louis; Xu, Fei 38 2009 Flasque resolutions of linear connected groups. (Résolutions flasques des groupes linéaires connexes.) Zbl 1158.14021Colliot-Thélène, Jean-Louis 26 2008 The elementary obstruction and homogeneous spaces. Zbl 1135.14013Borovoi, M.; Colliot-Thélène, J.-L.; Skorobogatov, A. N. 17 2008 Rational surfaces and the canonical dimension of \(\mathrm{PGL}_6\). Zbl 1206.14070Colliot-Thélène, J.-L.; Karpenko, N. A.; Merkur’ev, A. S. 7 2008 Special fibre of low degree hypersurfaces. (Fibre spéciale des hypersurfaces de petit degré.) Zbl 1129.14059Colliot-Thélène, Jean-Louis 2 2008 The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group). Zbl 1147.13002Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques 47 2007 Weak approximation for algebraic tori quite fails. (Quelques questions d’approximation faible pour les tores algébriques.) Zbl 1125.20035Colliot-Thélène, Jean-Louis; Suresh, Venapally 5 2007 Picard group and Brauer group of smooth compactifications of homogeneous spaces. (Groupe de Picard et groupe de Brauer des compactifications lisses d’espaces homogènes.) Zbl 1203.11035Colliot-Thélène, Jean-Louis; Kunyavskiĭ, Boris È. 11 2006 Central simple algebras over function fields in two variables (after A. J. de Jong). (Algèbres simples centrales sur les corps de fonctions de deux variables [d’après A. J. de Jong].) Zbl 1123.14012Colliot-Thélène, Jean-Louis 4 2006 Equivariant compactification of a torus (after Brylinski and Künnemann). Zbl 1078.14076Colliot-Théléne, J.-L.; Harari, D.; Skorobogatov, A. N. 26 2005 A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic field. (Un théorème de finitude pour le groupe de Chow des zéro-cycles d’un groupe algébrique linéaire sur un corps \(p\)-adique.) Zbl 1080.14012Colliot-Thélène, Jean-Louis 19 2005 Fields of cohomological dimension 1 versus \(C_1\)-fields. Zbl 1090.12002Colliot-Thélène, J.-L. 3 2005 A remark on a theorem E. Becker and D. Gondard. (Eine Bemerkung zu einem Satz von E. Becker und D. Gondard.) Zbl 1068.14063Colliot-Thélène, J.-L. 1 2005 Arithmetic of linear algebraic groups over 2-dimensional geometric fields. Zbl 1129.11014Colliot-Thélène, J.-L.; Gille, P.; Parimala, R. 31 2004 Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050Poonen, Bjorn; Voloch, José Felipe 21 2004 Del Pezzo surfaces without rational points on a field of cohomological dimension one. (Surfaces de del Pezzo sans point rationnel sur un corps de dimension cohomologique un.) Zbl 1056.14030Colliot-Thélène, Jean-Louis; Madore, David A. 12 2004 Remarks on weak approximation over a function field of one variable. (Remarques sur l’approximation faible sur un corps de fonctions d’une variable.) Zbl 1201.11066Colliot-Thélène, Jean-Louis; Gille, Philippe 7 2004 Flasque resolutions for connected reductive algebraic groups. (Résolutions flasques des groupes réductifs connexes.) Zbl 1076.20034Colliot-Thélène, Jean-Louis 3 2004 Rational points on fibrations. (Points rationnels sur les fibrations.) Zbl 1077.14029Colliot-Thélène, Jean-Louis 20 2003 Values of a polynomial of one variable represented by a norm. (Valeurs d’un polynôme à une variable représentées par une norme.) Zbl 1087.14016Colliot-Thélène, J.-L.; Harari, D.; Skorobogatov, A. N. 14 2003 The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène). Zbl 1039.11044Heath-Brown, D. R. 72 2002 Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes. Zbl 1055.14019Colliot-Thélène, J.-L.; Ojanguren, M.; Parimala, R. 20 2002 Exponent and index of nonramified central simple algebras (with an appendix by Ofer Gabber). (Exposant et indice d’algèbres simples centrales non ramifiées (avec un appendice par Ofer Gabber).) Zbl 1047.16007Colliot-Thélène, Jean-Louis 14 2002 Hasse principle for pencils of curves of genus one whose Jacobians have a rational 2-division point (close variation on a paper of Bender and Swinnerton-Dyer). Zbl 1079.14510Colliot-Thélène, Jean-Louis 3 2001 Arithmetic of linear algebraic groups over certain fields of dimension two. (Arithmétique des groupes algébriques linéaires sur certains corps géométriques de dimension deux.) Zbl 1037.20050Colliot-Thélène, Jean-Louis; Gille, Philippe; Parimala, Raman 2 2001 Rational connectedness and Galois covers of the projective line. Zbl 0990.12003Colliot-Thélène, Jean-Louis 21 2000 Algebraic families of nonzero elements of Shafarevich-Tate groups. Zbl 0951.11022Colliot-Thélène, Jean-Louis; Poonen, Bjorn 15 2000 Descent on fibrations over P\(^1_k\) revisited. Zbl 1024.14003Colliot-Thélène, J.-L.; Skorobogatov, A. N. 13 2000 Local-global principle for the zero-cycles on ruled surfaces. (Principe local-global pour les zéro-cycles sur les surfaces réglées.) Zbl 0972.14001Colliot-Thélène, Jean-Louis 7 2000 Local-global type conjectures on the image of Chow groups in étale cohomology. (Conjectures de type local-global sur l’image des groupes de Chow dans la cohomologie étale.) Zbl 0981.14003Colliot-Thélène, Jean-Louis 13 1999 Galois cohomology of Henselian discrete valuation fields, after K. Kato and S. Bloch. (Cohomologie galoisienne des corps valués discrets henseliens, d’après K. Kato et S. Bloch.) Zbl 0976.11053Colliot-Thélène, Jean-Louis 8 1999 Rational points and zero-cycles on fibred varieties: Schinzel’s hypothesis and Salberger’s device. Zbl 0883.11029Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 20 1998 Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points. Zbl 0924.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 15 1998 Non-ramified Brauer group of principal homogeneous spaces of linear groups. (Groupe de Brauer non ramifié des espaces principaux homogènes de groupes linéaires.) Zbl 0929.14008Colliot-Thélène, J.-L.; Kunyavskiĭ, B. È. 8 1998 The Hasse principle in a pencil of algebraic varieties. Zbl 0910.14008Colliot-Thélène, J.-L. 5 1998 The Bloch-Ogus-Gabber theorem. Zbl 0911.14004Colliot-Thélène, Jean Louis; Hoobler, Raymond T.; Kahn, Bruno 56 1997 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 24 1997 Zero cycles on \(p\)-adic varieties and Brauer group. (Zéro-cycles sur les variétés \(p\)-adiques et groupe de Brauer.) Zbl 0878.14006Colliot-Thélène, Jean-Louis; Saito, Shuji 15 1996 Zero-cycles and cohomology on real algebraic varieties. Zbl 0882.14016Colliot-Thélène, J.-L.; Scheiderer, C. 13 1996 Linear groups on the function fields of real curves. (Groupes linéaires sur les corps de fonctions de courbes réelles.) Zbl 0847.11017Colliot-Thélène, Jean Louis 9 1996 Multiplicative groups of fields modulo products of subfields. Zbl 0846.12003Colliot-Thélène, J.-L.; Guralnick, R. M.; Wiegand, R. 5 1996 Some finiteness results for the group \(SK_1\) of a biquaternion algebra. (Quelques résultats de finitude pour le groupe \(SK_1\) d’une algèbre de biquaternions.) Zbl 0892.16011Colliot-Thélène, Jean-Louis 3 1996 Birational invariants, purity and the Gersten conjecture. Zbl 0834.14009Colliot-Thélène, J.-L. 58 1995 The arithmetic of the Chow group of zero-cycles. (L’arithmétique du groupe de Chow des zéro-cycles.) Zbl 0870.14002Colliot-Thélène, Jean-Louis 22 1995 Unramified Witt groups of real anisotropic quadrics. Zbl 0827.11022Colliot-Thélène, J.-L.; Sujatha, R. 10 1995 Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter 31 1994 Torsion algebraic cycles and algebraic \(K\)-theory. (Cycles algébriques de torsion et \(K\)-théorie algébrique.) Zbl 0806.14002Colliot-Thélène, Jean-Louis 17 1993 Chow groups of zero cycles on pencils of quadrics. (Groupe de Chow des zéro-cycles sur les fibrés en quadriques.) Zbl 0837.14002Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 14 1993 On the reciprocity sequence in the higher class field theory of function fields. Zbl 0885.19002Colliot-Thélène, J.-L. 5 1993 The Noether-Lefschetz theorem and sums of 4 squares in the rational function field \(\mathbb{R}(x,y)\). Zbl 0774.12002Colliot-Thélène, J.-L. 4 1993 Witt groups vis-à-vis Chow groups. (With an appendix by J. L. Colliot- Thélène). Zbl 0836.14003Parimala, R. 1 1993 Locally trivial principal homogeneous spaces. (Espaces principaux homogènes localement triviaux.) Zbl 0795.14029Colliot-Thélène, Jean-Louis; Ojanguren, Manuel 42 1992 The arithmetic of rational varieties. (L’arithmétique des variétés rationnelles.) Zbl 0787.14012Colliot-Thélène, Jean-Louis 12 1992 Real rational surfaces without a real point. Zbl 0738.14023Colliot-Thélène, J.-L. 5 1992 Weak approximation for intersections of two quadrics in dimension 3. (Approximation faible pour les intersections de deux quadriques en dimension 3.) Zbl 0757.14028Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei Nikolaïevitch 3 1992 Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion). Zbl 0752.14004Colliot-Thélène, Jean-Louis; Raskind, Wayne 17 1991 ...and 45 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 691 Authors 58 Colliot-Thélène, Jean-Louis 23 Parimala, Raman 23 Skorobogatov, Alexei Nikolaïevitch 17 Kahn, Bruno 17 Suresh, Venapally 17 Tschinkel, Yuri 15 Panin, Ivan A. 15 Wittenberg, Olivier 14 Gille, Philippe 14 Hoshi, Akinari 13 Browning, Timothy Daniel 13 Harari, David 13 Merkur’ev, Aleksandr Sergeevich 13 Nguyễn Quôc Thăng 12 Kang, Ming-Chang 12 Yamasaki, Aiichi 11 Borovoi, Mikhail V. 11 Wei, Dasheng 10 Harbater, David 10 Reichstein, Zinovy B. 10 Saito, Shuji 10 Shlapentokh, Alexandra 9 Beneish, Esther 9 Benoist, Olivier 9 Chernousov, Vladimir I. 9 Gonzalez-Avilés, Cristian D. 9 Hassett, Brendan 9 Izquierdo, Diego 9 Lucchini Arteche, Giancarlo 9 Xu, Fei 8 Demarche, Cyril 8 Harpaz, Yonatan 8 Krashen, Daniel 8 Kunyavskiĭ, Boris Èmmanuilovich 8 Liang, Yongqi 8 Loughran, Daniel 8 Peyre, Emmanuel 8 Pianzola, Arturo 8 Rapinchuk, Andrei S. 8 Rapinchuk, Igor A. 8 Ramdorai, Sujatha 8 Várilly-Alvarado, Anthony 7 Auel, Asher Natan 7 Böhning, Christian 7 Bright, Martin 7 Cao, Yang 7 de la Bretèche, Régis 7 Fasel, Jean 7 Pirutka, Alena 7 Raskind, Wayne 7 Schindler, Damaris 7 Stavrova, Anastasia K. 7 Totaro, Burt 7 Viray, Bianca 7 Voisin, Claire 6 Asok, Aravind 6 Gille, Stefan G. 6 Hartmann, Julia 6 Jahnel, Jörg 6 Kisin, Mark 6 Kresch, Andrew 6 Mahé, Louis 6 Poonen, Bjorn 6 Sansuc, Jean-Jacques 6 Sato, Kanetomo 6 Scavia, Federico 6 Yamazaki, Takao 6 Yanchevskii, Vyacheslav Ivanovich 5 Bayer-Fluckiger, Eva 5 Coombes, Kevin R. 5 Derenthal, Ulrich 5 Graf von Bothmer, Hans-Christian 5 Gros, Michel 5 Heath-Brown, Roger 5 Ieronymou, Evis 5 Schoen, Chad 5 Szamuely, Tamás 4 Becher, Karim Johannes 4 Campana, Frédéric 4 Creutz, Brendan 4 Dèbes, Pierre 4 Destagnol, Kevin 4 Douai, Jean-Claude 4 Duncan, Alexander 4 Esnault, Hélène 4 First, Uriya A. 4 Gazaki, Evangelia 4 Geisser, Thomas H. 4 Hu, Yong 4 Kanel’-Belov, Alekseĭ Yakovlevich 4 Kerz, Moritz C. 4 Moret-Bailly, Laurent 4 Nakahara, Masahiro 4 Okada, Takuzo 4 Østvær, Paul Arne 4 Ottem, John Christian 4 Pál, Ambrus 4 Rosenschon, Andreas 4 Salgado, Cecilia 4 Scheiderer, Claus ...and 591 more Authors all top 5 Cited in 139 Serials 85 Journal of Algebra 48 Duke Mathematical Journal 43 Journal of Number Theory 43 Transactions of the American Mathematical Society 42 Mathematische Annalen 39 Advances in Mathematics 38 Compositio Mathematica 36 Inventiones Mathematicae 31 Journal of Pure and Applied Algebra 30 Manuscripta Mathematica 28 Mathematische Zeitschrift 21 Journal für die Reine und Angewandte Mathematik 21 Journal de Théorie des Nombres de Bordeaux 20 Communications in Algebra 20 Annales de l’Institut Fourier 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Proceedings of the American Mathematical Society 15 Journal of the American Mathematical Society 15 Journal of Algebraic Geometry 15 Journal of the Institute of Mathematics of Jussieu 15 European Journal of Mathematics 13 Bulletin de la Société Mathématique de France 13 Algebra & Number Theory 12 Israel Journal of Mathematics 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 Annals of Mathematics. Second Series 12 International Journal of Number Theory 11 \(K\)-Theory 10 Journal of Mathematical Sciences (New York) 10 Forum of Mathematics, Sigma 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Publications Mathématiques 9 Documenta Mathematica 8 Transformation Groups 8 Annals of \(K\)-Theory 7 Mathematics of Computation 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Commentarii Mathematici Helvetici 6 Nagoya Mathematical Journal 6 Journal of the European Mathematical Society (JEMS) 5 Archiv der Mathematik 5 Mathematika 5 Michigan Mathematical Journal 5 Proceedings of the Japan Academy. Series A 5 St. Petersburg Mathematical Journal 5 Oberwolfach Reports 5 Journal of \(K\)-Theory 4 Mathematical Notes 4 Journal of the London Mathematical Society. Second Series 4 Journal of Soviet Mathematics 4 Memoirs of the American Mathematical Society 4 Indagationes Mathematicae. New Series 4 Geometry & Topology 4 Central European Journal of Mathematics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Proceedings of the Steklov Institute of Mathematics 4 Research in Number Theory 3 Bulletin of the London Mathematical Society 3 Canadian Mathematical Bulletin 3 Geometriae Dedicata 3 Proceedings of the London Mathematical Society. Third Series 3 Rendiconti del Seminario Matematico della Università di Padova 3 Journal of Symbolic Computation 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bulletin of the American Mathematical Society. New Series 3 Selecta Mathematica. New Series 3 Izvestiya: Mathematics 3 Acta Mathematica Sinica. English Series 3 Science China. Mathematics 3 Journal de l’École Polytechnique – Mathématiques 2 Bulletin of the Australian Mathematical Society 2 Rocky Mountain Journal of Mathematics 2 Acta Arithmetica 2 The Journal of Symbolic Logic 2 Monatshefte für Mathematik 2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 2 Geometric and Functional Analysis. GAFA 2 L’Enseignement Mathématique. 2e Série 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Vestnik St. Petersburg University. Mathematics 2 Bulletin des Sciences Mathématiques 2 Sbornik: Mathematics 2 Advances in Geometry 2 Journal of Algebra and its Applications 2 Journal of Topology 2 Bollettino dell’Unione Matematica Italiana 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics ...and 39 more Serials all top 5 Cited in 30 Fields 848 Algebraic geometry (14-XX) 479 Number theory (11-XX) 167 Group theory and generalizations (20-XX) 139 Field theory and polynomials (12-XX) 97 \(K\)-theory (19-XX) 88 Commutative algebra (13-XX) 67 Associative rings and algebras (16-XX) 26 Nonassociative rings and algebras (17-XX) 26 Category theory; homological algebra (18-XX) 25 Algebraic topology (55-XX) 15 Mathematical logic and foundations (03-XX) 8 Several complex variables and analytic spaces (32-XX) 6 General and overarching topics; collections (00-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 6 Manifolds and cell complexes (57-XX) 4 Differential geometry (53-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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