Edit Profile (opens in new tab) Kahn, Bruno Co-Author Distance Author ID: kahn.bruno Published as: Kahn, Bruno; Kahn, B. Homepage: https://webusers.imj-prg.fr/~bruno.kahn/ External Links: MGP Documents Indexed: 142 Publications since 1983, including 4 Books and 32 Additional arXiv Preprints 2 Contributions as Editor · 3 Further Contributions Co-Authors: 35 Co-Authors with 54 Joint Publications 418 Co-Co-Authors all top 5 Co-Authors 90 single-authored 9 Ramdorai, Sujatha 8 Yamazaki, Takao 7 Barbieri Viale, Luca 6 Miyazaki, Hiroyasu 6 Saito, Shuji 4 André, Yves 4 Levine, Marc Noel 3 Colliot-Thélène, Jean-Louis 2 Esnault, Hélène 2 Morel, Fabien 2 Viehweg, Eckart 1 Amice, Yvette 1 Andreatta, Fabrizio 1 Bertapelle, Alessandra 1 Berthelot, Pierre 1 Bost, Jean-Benoît 1 Cerveau, Dominique 1 Charpentier, Éric 1 Cisinski, Denis-Charles 1 El Karoui, Nicole 1 Ferrand, Daniel 1 Fontaine, Jean-Marc 1 Gabber, Ofer 1 Geisser, Thomas H. 1 Gunarwardena, J. 1 Hindry, Marc 1 Hoobler, Raymond Taylor 1 Hu, Xiaowen 1 Huber-Klawitter, Annette 1 Lafforgue, Laurent 1 Laghribi, Ahmed 1 Liu, with an appendix by Qing 1 Maltsiniotis, Georges 1 Murre, Jacob P. 1 Ngan, Nguyen Thi Kim 1 Nguyen, Ngan Thi Kim 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 O’Sullivan, avec un appendice de Peter 1 O’Sullivan, Peter L. 1 Pedrini, Claudio 1 Perthame, Benoît 1 Pham Anh Minh 1 Rauch, Jeffrey B. 1 Rost, Markus 1 Rülling, Kay 1 Sebastian, Ronnie 1 Spieß, Michael 1 Thomas, Charles Benedict 1 Viennot, Xavier Gérard 1 Werner, Wendelin 1 Wildeshaus, Jörg 1 Yor, Marc all top 5 Serials 7 Comptes Rendus de l’Académie des Sciences. Série I 5 Duke Mathematical Journal 5 Journal of Algebra 5 \(K\)-Theory 5 Documenta Mathematica 4 Journal of Pure and Applied Algebra 4 Rendiconti del Seminario Matematico della Università di Padova 3 Commentarii Mathematici Helvetici 3 Compositio Mathematica 2 Communications in Algebra 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Homology, Homotopy and Applications 2 Oberwolfach Reports 2 Journal of \(K\)-Theory 2 Annals of \(K\)-Theory 2 Épijournal de Géométrie Algébrique. EPIGA 1 Rocky Mountain Journal of Mathematics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Annales des Sciences Mathématiques du Québec 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Tôhoku Mathematical Journal. Second Series 1 Topology 1 Journal of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Selecta Mathematica. New Series 1 Mathematical Research Letters 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Pure and Applied Mathematics Quarterly 1 Astérisque 1 London Mathematical Society Lecture Note Series 1 Panoramas et Synthèses 1 Cours Spécialisés (Paris) 1 Algebra & Number Theory 1 Confluentes Mathematici 1 Algebraic Geometry 1 Le Sel et le Fer 1 Tunisian Journal of Mathematics 1 Nano 1 Essential Number Theory all top 5 Fields 85 Algebraic geometry (14-XX) 48 \(K\)-theory (19-XX) 37 Number theory (11-XX) 23 Category theory; homological algebra (18-XX) 19 Field theory and polynomials (12-XX) 15 Group theory and generalizations (20-XX) 11 Algebraic topology (55-XX) 6 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 4 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 3 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 848 times in 561 Documents Cited by ▼ Year ▼ The Bloch-Ogus-Gabber theorem. Zbl 0911.14004 Colliot-Thélène, Jean Louis; Hoobler, Raymond T.; Kahn, Bruno 62 1997 Nilpotence, radicals and monoidal structures. With an appendix by Peter O’Sullivan. (Nilpotence, radicaux et structures monoïdales.) Zbl 1165.18300 André, Yves; Kahn, Bruno 42 2002 On the transcendental part of the motive of a surface. Zbl 1130.14008 Kahn, Bruno; Murre, Jacob P.; Pedrini, Claudio 38 2007 The slice filtration and mixed Tate motives. Zbl 1105.14022 Huber, Annette; Kahn, Bruno 29 2006 On the derived category of 1-motives. Zbl 1356.19001 Barbieri-Viale, Luca; Kahn, Bruno 28 2016 Galois descent and \(K_ 2\) of number fields. (Descente galoisienne et \(K_ 2\) des corps de nombres.) Zbl 0780.12007 Kahn, Bruno 27 1993 Reciprocity sheaves. Zbl 1419.19001 Kahn, Bruno; Saito, Shuji; Yamazaki, Takao; Rülling, Kay 25 2016 Comparison of some field invariants. Zbl 0972.11018 Kahn, Bruno 23 2000 The Arason invariant and mod 2 algebraic cycles. Zbl 1025.11009 Esnault, Hélène; Kahn, Bruno; Levine, Marc; Viehweg, Eckart 21 1998 Construction de classes de Chern équivariantes pour un fibré vectoriel réel. Zbl 0615.57012 Kahn, Bruno 20 1987 Motives with modulus. I: Modulus sheaves with transfers for non-proper modulus pairs. Zbl 1506.19002 Kahn, Bruno; Miyazaki, Hiroyasu; Saito, Shuji; Yamazaki, Takao 20 2021 Smash-nilpotent cycles on abelian 3-folds. Zbl 1191.14009 Kahn, Bruno; Sebastian, Ronnie 18 2009 Classes of motivic étale cycles. (Classes de cycles motiviques étales.) Zbl 1263.14011 Kahn, Bruno 18 2012 Unramified cohomology of quadrics. I. Zbl 0913.11018 Kahn, Bruno; Rost, Markus; Sujatha, R. 17 1998 Rational and numerical equivalences on certain abelian type varieties over a finite field. (Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini.) Zbl 1073.14034 Kahn, Bruno 16 2003 Algebraic \(K\)-theory, algebraic cycles and arithmetic geometry. Zbl 1115.19003 Kahn, Bruno 15 2005 Motives with modulus. II: Modulus sheaves with transfers for proper modulus pairs. Zbl 1468.19005 Kahn, Bruno; Miyazaki, Hiroyasu; Saito, Shuji; Yamazaki, Takao 15 2021 Quadratic forms over a field. (Formes quadratiques sur un corps.) Zbl 1191.11002 Kahn, Bruno 14 2008 Applications of weight-two motivic cohomology. Zbl 0883.19002 Kahn, Bruno 14 1996 On the class group of an arithmetic scheme. (With an appendix of Marc Hindry). (Sur le groupe des classes d’un schéma arithmétique. (Avec un appendice de Marc Hindry).) Zbl 1222.14048 Kahn, Bruno 13 2006 Zeta functions and motives. Zbl 1171.18006 Kahn, Bruno 13 2009 Some remarks on the \(u\)-invariant. (Quelques remarques sur le \(u\)-invariant.) Zbl 0712.12002 Kahn, B. 13 1990 Voevodsky’s motives and Weil reciprocity. Zbl 1309.19009 Kahn, Bruno; Yamazaki, Takao 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 1263.19004 Colliot-Thélène, Jean-Louis; Kahn, Bruno 13 2013 Classes de Stiefel-Whitney de formes quadratiques et de représentations galoisiennes réelles. Zbl 0557.12014 Kahn, Bruno 12 1984 Motivic cohomology and unramified cohomology of quadrics. Zbl 1066.11015 Kahn, Bruno; Sujatha, R. 12 2000 Birational motives. I: Pure birational motives. Zbl 1388.14025 Kahn, Bruno; Sujatha, Ramdorai 12 2016 \(K\)-theory of semi-local rings with finite coefficients and étale cohomology. Zbl 1013.19001 Kahn, Bruno 12 2002 Two comparison theorems in étale cohomology; applications. (Deux théorèmes de comparaison en cohomologie étale; applications.) Zbl 0789.14014 Kahn, Bruno 11 1993 Coverings with odd ramification and Stiefel-Whitney classes. Zbl 0772.57028 Esnault, Hélène; Kahn, Bruno; Viehweg, Eckart 11 1993 Quadratic forms of height and degree 2. (Formes quadratiques de hauteur et de degré 2.) Zbl 0866.11030 Kahn, Bruno 11 1996 Stiefel-Whitney classes of real representations of finite groups. Zbl 0687.55008 Gunarwardena, J.; Kahn, B.; Thomas, C. 11 1989 On the Lichtenbaum-Quillen conjecture. Zbl 0885.19004 Kahn, Bruno 11 1993 Birational motives. II: Triangulated birational motives. Zbl 1405.14013 Kahn, Bruno; Sujatha, Ramdorai 11 2017 The Geisser-Levine method revisited and algebraic cycles over a finite field. Zbl 1014.14004 Kahn, B. 10 2002 The total Stiefel-Whitney class of a regular representation. Zbl 0777.20019 Kahn, Bruno 10 1991 Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber). Zbl 1349.14052 Kahn, Bruno; Sujatha, R. 10 2015 Lower \({\mathcal H}\)-cohomology of higher-dimensional quadrics. Zbl 0831.11030 Kahn, Bruno 9 1995 Motivic cohomology of smooth geometrically cellular varieties. Zbl 0954.19004 Kahn, Bruno 9 1999 Reciprocity sheaves. II. Zbl 1487.19005 Kahn, Bruno; Saito, Shuji; Yamazaki, Takao 8 2022 Motives of Azumaya algebras. Zbl 1195.14007 Kahn, Bruno; Levine, Marc 7 2010 A descent problem for quadratic forms. Zbl 0858.11024 Kahn, Bruno 7 1995 The decomposable part of motivic cohomology and bijectivity of the norm residue homomorphism. Zbl 0759.19005 Kahn, Bruno 7 1992 Gauss sums attached to quadratic characters: a conjecture of Pierre Conner. (Sommes de Gauss attachées aux caractères quadratiques: une conjecture de Pierre Conner.) Zbl 0686.12008 Kahn, Bruno 6 1987 Derivability structures. (Structures de dérivabilité.) Zbl 1149.18009 Kahn, Bruno; Maltsiniotis, Georges 6 2008 An unconditional construction of motivic Galois groups. (Construction inconditionnelle de groupes de Galois motiviques.) Zbl 1052.14021 André, Yves; Kahn, Bruno 6 2002 Unramified cohomology of quadrics. II. Zbl 1049.11044 Kahn, Bruno; Sujatha, R. 6 2001 Motives with modulus. III: The categories of motives. Zbl 1505.19003 Kahn, Bruno; Miyazaki, Hiroyasu; Saito, Shuji; Yamazaki, Takao 6 2022 La deuxième classe de Stiefel-Whitney d’une représentation régulière. I, II. Zbl 0552.20005 Kahn, Bruno 5 1983 Relatively unramified elements in cycle modules. Zbl 1235.14008 Kahn, Bruno 5 2011 Erratum: Nilpotency, radicals and monoidal structures. (Erratum: nilpotence, radicaux et structures monoïdales.) Zbl 1167.18302 André, Yves; Kahn, Bruno 5 2005 Nullité de certains groupes attachés aux variétés semi- abéliennes sur un corps fini. Application. (Vanishing of certain groups attached to semi-abelian varieties over a finite field. Application). Zbl 0785.14027 Kahn, Bruno 5 1992 Torsion order of smooth projective surfaces. Zbl 1391.14016 Kahn, Bruno 5 2017 A few localisation theorems. Zbl 1153.18011 Kahn, Bruno; Sujatha, R. 4 2007 The Milnor conjecture after V. Voevodsky. (La conjecture de Milnor d’après V. Voevodsky.) Zbl 0916.19001 Kahn, Bruno 4 1997 Some finiteness results for étale cohomology. Zbl 1055.14018 Kahn, Bruno 4 2003 Motives and adjoints. (Motifs et adjoints.) Zbl 1423.14155 Kahn, Bruno 4 2018 Results of “purity” for smooth varieties over a finite field. Appendix to the article of J.-L. Colliot-Thélène. (Résultats de “pureté” pour les variétés lisses sur un corps fini. Appendice à l’article de J.-L. Colliot-Thélène.) Zbl 0885.19003 Kahn, Bruno 3 1993 Equivariant Stiefel-Whitney classes. Zbl 0861.55022 Kahn, Bruno 3 1994 Le groupe des classes modulo 2, d’après Conner et Perlis. (The class group modulo 2, after Conner and Perlis). Zbl 0589.10022 Kahn, Bruno 3 1985 On the Scharlau transfer. Zbl 0712.12003 Kahn, Bruno 3 1989 Chern classes of complex Galois representations. (Les classes de Chern des représentations galoisiennes complexes.) Zbl 0770.12006 Kahn, Bruno 3 1992 A characterisation of powerfully embedded normal subgroups of a \(p\)-group. Zbl 0879.20017 Kahn, Bruno 3 1997 The Brauer group and indecomposable \((2,1)\)-cycles. Zbl 1375.19008 Kahn, Bruno 3 2016 Cohomological approaches to \(SK_1\) and \(SK_2\) of central simple algebras. Zbl 1223.16006 Kahn, Bruno 3 2010 Quadratic forms and algebraic cycles (after Rost, Voevodsky, Vishik, Karpenko, …). (Formes quadratiques et cycles algébriques [d’après Rost, Voevodsky, Vishik, Karpenko, …].) Zbl 1120.11018 Kahn, Bruno 2 2006 L’anneau de Milnor d’un corps local à corps résiduel parfait. Zbl 0522.12015 Kahn, Bruno 2 1984 A geometric proof of the Lang-Néron theorem and Shioda-Tate formulas. (Démonstration géométrique du théorème de Lang-Néron et formules de Shioda-Tate.) Zbl 1226.14056 Kahn, Bruno 2 2009 On “horizontal” invariants attached to quadratic forms. Zbl 1099.11020 Kahn, Bruno 2 2005 The conjecture of Milnor (after V. Voevodsky). (La conjecture de Milnor (d’après V. Voevodsky).) Zbl 1101.19001 Kahn, Bruno 2 2005 \(K_ 3\) of a regular scheme. (\(K_ 3\) d’un schéma régulier.) Zbl 0790.14007 Kahn, Bruno 2 1992 Bott elements in algebraic \(K\)-theory. Zbl 0877.19002 Kahn, Bruno 2 1997 Zeta and \(L\)-functions of varieties and motives. (Fonctions zêta et \(L\) de variétés et de motifs.) Zbl 1461.14002 Kahn, Bruno 2 2018 \(K_2\) d’un anneau euclidien. Zbl 0552.18002 Kahn, Bruno 1 1984 The derived functors of unramified cohomology. Zbl 1393.19005 Kahn, Bruno; Sujatha, R. 1 2018 The Chern classes modulo \(p\) of a regular representation. (Les classes de Chern modulo \(p\) d’une représentation régulière.) Zbl 0954.20028 Kahn, Bruno 1 1999 A description of the second mod \(p\) cohomology group of a \(p\)-group. Zbl 0960.20032 Kahn, Bruno; Minh, Pham Anh 1 1998 A second descent problem for quadratic forms. Zbl 1108.11033 Kahn, Bruno; Laghribi, Ahmed 1 2003 Unramified cohomology of quadrics. (Cohomologie non ramifiée des quadriques.) Zbl 1075.14018 Kahn, Bruno 1 2004 Algebraic \(K\)-theory and twisted reciprocity laws. Zbl 1053.19001 Kahn, Bruno 1 2003 Some conjectures on the algebraic K-theory of fields. I: K-theory with coefficients and étale K-theory. Zbl 0698.14011 Kahn, Bruno 1 1989 Erratum to: “The total Stiefel-Whitney class of a regular representation”. Zbl 0780.20032 Kahn, Bruno 1 1992 Hilbert- Samuel function of certain graded algebras. (Fonction de Hilbert-Samuel de certaines algèbres graduées.) Zbl 0783.16021 Kahn, Bruno 1 1993 On the cohomology of biquadratic extensions. Zbl 0798.12007 Kahn, Bruno 1 1994 Les classes de Chern des représentations galoisiennes complexes. (The Chern classes of complex Galois representations). Zbl 0624.12015 Kahn, Bruno 1 1987 Orthogonal and symplectic representations over a field of characteristic \(\neq 2\). (Représentations orthogonales et symplectiques sur un corps de caractéristique différente de 2.) Zbl 1024.20007 Kahn, Bruno 1 2003 The full faithfulness conjectures in characteristic \(p\). Zbl 1368.14007 Kahn, Bruno 1 2013 Algebraic tori as Nisnevich sheaves with transfers. Zbl 1305.14011 Kahn, Bruno 1 2014 Topologies on schemes and modulus pairs. Zbl 1484.19005 Kahn, Bruno; Miyazaki, Hiroyasu 1 2021 A universal rigid abelian tensor category. Zbl 1490.18007 Barbieri-Viale, Luca; Kahn, Bruno 1 2022 Zeta and \(L\)-functions of varieties and motives. Translated from the French. Zbl 1502.14003 Kahn, Bruno 1 2020 Exactness and faithfulness of monoidal functors. Zbl 1509.18017 Kahn, Bruno 1 2023 Exactness and faithfulness of monoidal functors. Zbl 1509.18017 Kahn, Bruno 1 2023 Reciprocity sheaves. II. Zbl 1487.19005 Kahn, Bruno; Saito, Shuji; Yamazaki, Takao 8 2022 Motives with modulus. III: The categories of motives. Zbl 1505.19003 Kahn, Bruno; Miyazaki, Hiroyasu; Saito, Shuji; Yamazaki, Takao 6 2022 A universal rigid abelian tensor category. Zbl 1490.18007 Barbieri-Viale, Luca; Kahn, Bruno 1 2022 Motives with modulus. I: Modulus sheaves with transfers for non-proper modulus pairs. Zbl 1506.19002 Kahn, Bruno; Miyazaki, Hiroyasu; Saito, Shuji; Yamazaki, Takao 20 2021 Motives with modulus. II: Modulus sheaves with transfers for proper modulus pairs. Zbl 1468.19005 Kahn, Bruno; Miyazaki, Hiroyasu; Saito, Shuji; Yamazaki, Takao 15 2021 Topologies on schemes and modulus pairs. Zbl 1484.19005 Kahn, Bruno; Miyazaki, Hiroyasu 1 2021 Zeta and \(L\)-functions of varieties and motives. Translated from the French. Zbl 1502.14003 Kahn, Bruno 1 2020 Motives and adjoints. (Motifs et adjoints.) Zbl 1423.14155 Kahn, Bruno 4 2018 Zeta and \(L\)-functions of varieties and motives. (Fonctions zêta et \(L\) de variétés et de motifs.) Zbl 1461.14002 Kahn, Bruno 2 2018 The derived functors of unramified cohomology. Zbl 1393.19005 Kahn, Bruno; Sujatha, R. 1 2018 Birational motives. II: Triangulated birational motives. Zbl 1405.14013 Kahn, Bruno; Sujatha, Ramdorai 11 2017 Torsion order of smooth projective surfaces. Zbl 1391.14016 Kahn, Bruno 5 2017 On the derived category of 1-motives. Zbl 1356.19001 Barbieri-Viale, Luca; Kahn, Bruno 28 2016 Reciprocity sheaves. Zbl 1419.19001 Kahn, Bruno; Saito, Shuji; Yamazaki, Takao; Rülling, Kay 25 2016 Birational motives. I: Pure birational motives. Zbl 1388.14025 Kahn, Bruno; Sujatha, Ramdorai 12 2016 The Brauer group and indecomposable \((2,1)\)-cycles. Zbl 1375.19008 Kahn, Bruno 3 2016 Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber). Zbl 1349.14052 Kahn, Bruno; Sujatha, R. 10 2015 Algebraic tori as Nisnevich sheaves with transfers. Zbl 1305.14011 Kahn, Bruno 1 2014 Voevodsky’s motives and Weil reciprocity. Zbl 1309.19009 Kahn, Bruno; Yamazaki, Takao 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 1263.19004 Colliot-Thélène, Jean-Louis; Kahn, Bruno 13 2013 The full faithfulness conjectures in characteristic \(p\). Zbl 1368.14007 Kahn, Bruno 1 2013 Classes of motivic étale cycles. (Classes de cycles motiviques étales.) Zbl 1263.14011 Kahn, Bruno 18 2012 Relatively unramified elements in cycle modules. Zbl 1235.14008 Kahn, Bruno 5 2011 Motives of Azumaya algebras. Zbl 1195.14007 Kahn, Bruno; Levine, Marc 7 2010 Cohomological approaches to \(SK_1\) and \(SK_2\) of central simple algebras. Zbl 1223.16006 Kahn, Bruno 3 2010 Smash-nilpotent cycles on abelian 3-folds. Zbl 1191.14009 Kahn, Bruno; Sebastian, Ronnie 18 2009 Zeta functions and motives. Zbl 1171.18006 Kahn, Bruno 13 2009 A geometric proof of the Lang-Néron theorem and Shioda-Tate formulas. (Démonstration géométrique du théorème de Lang-Néron et formules de Shioda-Tate.) Zbl 1226.14056 Kahn, Bruno 2 2009 Quadratic forms over a field. (Formes quadratiques sur un corps.) Zbl 1191.11002 Kahn, Bruno 14 2008 Derivability structures. (Structures de dérivabilité.) Zbl 1149.18009 Kahn, Bruno; Maltsiniotis, Georges 6 2008 On the transcendental part of the motive of a surface. Zbl 1130.14008 Kahn, Bruno; Murre, Jacob P.; Pedrini, Claudio 38 2007 A few localisation theorems. Zbl 1153.18011 Kahn, Bruno; Sujatha, R. 4 2007 The slice filtration and mixed Tate motives. Zbl 1105.14022 Huber, Annette; Kahn, Bruno 29 2006 On the class group of an arithmetic scheme. (With an appendix of Marc Hindry). (Sur le groupe des classes d’un schéma arithmétique. (Avec un appendice de Marc Hindry).) Zbl 1222.14048 Kahn, Bruno 13 2006 Quadratic forms and algebraic cycles (after Rost, Voevodsky, Vishik, Karpenko, …). (Formes quadratiques et cycles algébriques [d’après Rost, Voevodsky, Vishik, Karpenko, …].) Zbl 1120.11018 Kahn, Bruno 2 2006 Algebraic \(K\)-theory, algebraic cycles and arithmetic geometry. Zbl 1115.19003 Kahn, Bruno 15 2005 Erratum: Nilpotency, radicals and monoidal structures. (Erratum: nilpotence, radicaux et structures monoïdales.) Zbl 1167.18302 André, Yves; Kahn, Bruno 5 2005 On “horizontal” invariants attached to quadratic forms. Zbl 1099.11020 Kahn, Bruno 2 2005 The conjecture of Milnor (after V. Voevodsky). (La conjecture de Milnor (d’après V. Voevodsky).) Zbl 1101.19001 Kahn, Bruno 2 2005 Unramified cohomology of quadrics. (Cohomologie non ramifiée des quadriques.) Zbl 1075.14018 Kahn, Bruno 1 2004 Rational and numerical equivalences on certain abelian type varieties over a finite field. (Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini.) Zbl 1073.14034 Kahn, Bruno 16 2003 Some finiteness results for étale cohomology. Zbl 1055.14018 Kahn, Bruno 4 2003 A second descent problem for quadratic forms. Zbl 1108.11033 Kahn, Bruno; Laghribi, Ahmed 1 2003 Algebraic \(K\)-theory and twisted reciprocity laws. Zbl 1053.19001 Kahn, Bruno 1 2003 Orthogonal and symplectic representations over a field of characteristic \(\neq 2\). (Représentations orthogonales et symplectiques sur un corps de caractéristique différente de 2.) Zbl 1024.20007 Kahn, Bruno 1 2003 Nilpotence, radicals and monoidal structures. With an appendix by Peter O’Sullivan. (Nilpotence, radicaux et structures monoïdales.) Zbl 1165.18300 André, Yves; Kahn, Bruno 42 2002 \(K\)-theory of semi-local rings with finite coefficients and étale cohomology. Zbl 1013.19001 Kahn, Bruno 12 2002 The Geisser-Levine method revisited and algebraic cycles over a finite field. Zbl 1014.14004 Kahn, B. 10 2002 An unconditional construction of motivic Galois groups. (Construction inconditionnelle de groupes de Galois motiviques.) Zbl 1052.14021 André, Yves; Kahn, Bruno 6 2002 Unramified cohomology of quadrics. II. Zbl 1049.11044 Kahn, Bruno; Sujatha, R. 6 2001 Comparison of some field invariants. Zbl 0972.11018 Kahn, Bruno 23 2000 Motivic cohomology and unramified cohomology of quadrics. Zbl 1066.11015 Kahn, Bruno; Sujatha, R. 12 2000 Motivic cohomology of smooth geometrically cellular varieties. Zbl 0954.19004 Kahn, Bruno 9 1999 The Chern classes modulo \(p\) of a regular representation. (Les classes de Chern modulo \(p\) d’une représentation régulière.) Zbl 0954.20028 Kahn, Bruno 1 1999 The Arason invariant and mod 2 algebraic cycles. Zbl 1025.11009 Esnault, Hélène; Kahn, Bruno; Levine, Marc; Viehweg, Eckart 21 1998 Unramified cohomology of quadrics. I. Zbl 0913.11018 Kahn, Bruno; Rost, Markus; Sujatha, R. 17 1998 A description of the second mod \(p\) cohomology group of a \(p\)-group. Zbl 0960.20032 Kahn, Bruno; Minh, Pham Anh 1 1998 The Bloch-Ogus-Gabber theorem. Zbl 0911.14004 Colliot-Thélène, Jean Louis; Hoobler, Raymond T.; Kahn, Bruno 62 1997 The Milnor conjecture after V. Voevodsky. (La conjecture de Milnor d’après V. Voevodsky.) Zbl 0916.19001 Kahn, Bruno 4 1997 A characterisation of powerfully embedded normal subgroups of a \(p\)-group. Zbl 0879.20017 Kahn, Bruno 3 1997 Bott elements in algebraic \(K\)-theory. Zbl 0877.19002 Kahn, Bruno 2 1997 Applications of weight-two motivic cohomology. Zbl 0883.19002 Kahn, Bruno 14 1996 Quadratic forms of height and degree 2. (Formes quadratiques de hauteur et de degré 2.) Zbl 0866.11030 Kahn, Bruno 11 1996 Lower \({\mathcal H}\)-cohomology of higher-dimensional quadrics. Zbl 0831.11030 Kahn, Bruno 9 1995 A descent problem for quadratic forms. Zbl 0858.11024 Kahn, Bruno 7 1995 Equivariant Stiefel-Whitney classes. Zbl 0861.55022 Kahn, Bruno 3 1994 On the cohomology of biquadratic extensions. Zbl 0798.12007 Kahn, Bruno 1 1994 Galois descent and \(K_ 2\) of number fields. (Descente galoisienne et \(K_ 2\) des corps de nombres.) Zbl 0780.12007 Kahn, Bruno 27 1993 Two comparison theorems in étale cohomology; applications. (Deux théorèmes de comparaison en cohomologie étale; applications.) Zbl 0789.14014 Kahn, Bruno 11 1993 Coverings with odd ramification and Stiefel-Whitney classes. Zbl 0772.57028 Esnault, Hélène; Kahn, Bruno; Viehweg, Eckart 11 1993 On the Lichtenbaum-Quillen conjecture. Zbl 0885.19004 Kahn, Bruno 11 1993 Results of “purity” for smooth varieties over a finite field. Appendix to the article of J.-L. Colliot-Thélène. (Résultats de “pureté” pour les variétés lisses sur un corps fini. Appendice à l’article de J.-L. Colliot-Thélène.) Zbl 0885.19003 Kahn, Bruno 3 1993 Hilbert- Samuel function of certain graded algebras. (Fonction de Hilbert-Samuel de certaines algèbres graduées.) Zbl 0783.16021 Kahn, Bruno 1 1993 The decomposable part of motivic cohomology and bijectivity of the norm residue homomorphism. Zbl 0759.19005 Kahn, Bruno 7 1992 Nullité de certains groupes attachés aux variétés semi- abéliennes sur un corps fini. Application. (Vanishing of certain groups attached to semi-abelian varieties over a finite field. Application). Zbl 0785.14027 Kahn, Bruno 5 1992 Chern classes of complex Galois representations. (Les classes de Chern des représentations galoisiennes complexes.) Zbl 0770.12006 Kahn, Bruno 3 1992 \(K_ 3\) of a regular scheme. (\(K_ 3\) d’un schéma régulier.) Zbl 0790.14007 Kahn, Bruno 2 1992 Erratum to: “The total Stiefel-Whitney class of a regular representation”. Zbl 0780.20032 Kahn, Bruno 1 1992 The total Stiefel-Whitney class of a regular representation. Zbl 0777.20019 Kahn, Bruno 10 1991 Some remarks on the \(u\)-invariant. (Quelques remarques sur le \(u\)-invariant.) Zbl 0712.12002 Kahn, B. 13 1990 Stiefel-Whitney classes of real representations of finite groups. Zbl 0687.55008 Gunarwardena, J.; Kahn, B.; Thomas, C. 11 1989 On the Scharlau transfer. Zbl 0712.12003 Kahn, Bruno 3 1989 Some conjectures on the algebraic K-theory of fields. I: K-theory with coefficients and étale K-theory. Zbl 0698.14011 Kahn, Bruno 1 1989 Construction de classes de Chern équivariantes pour un fibré vectoriel réel. Zbl 0615.57012 Kahn, Bruno 20 1987 Gauss sums attached to quadratic characters: a conjecture of Pierre Conner. (Sommes de Gauss attachées aux caractères quadratiques: une conjecture de Pierre Conner.) Zbl 0686.12008 Kahn, Bruno 6 1987 Les classes de Chern des représentations galoisiennes complexes. (The Chern classes of complex Galois representations). Zbl 0624.12015 Kahn, Bruno 1 1987 Le groupe des classes modulo 2, d’après Conner et Perlis. (The class group modulo 2, after Conner and Perlis). Zbl 0589.10022 Kahn, Bruno 3 1985 Classes de Stiefel-Whitney de formes quadratiques et de représentations galoisiennes réelles. Zbl 0557.12014 Kahn, Bruno 12 1984 L’anneau de Milnor d’un corps local à corps résiduel parfait. Zbl 0522.12015 Kahn, Bruno 2 1984 \(K_2\) d’un anneau euclidien. Zbl 0552.18002 Kahn, Bruno 1 1984 La deuxième classe de Stiefel-Whitney d’une représentation régulière. I, II. Zbl 0552.20005 Kahn, Bruno 5 1983 all cited Publications top 5 cited Publications all top 5 Cited by 399 Authors 33 Kahn, Bruno 24 Laterveer, Robert 12 Saito, Shuji 11 Tabuada, Gonçalo 11 Yamazaki, Takao 10 Binda, Federico 10 Bondarko, Mikhail Vladimirovich 10 Gomi, Kiyonori 10 Laghribi, Ahmed 10 Merkur’ev, Aleksandr Sergeevich 10 Sivatski, Alexander S. 9 De Nittis, Giuseppe 9 Geisser, Thomas H. 9 Rapinchuk, Igor A. 9 Rülling, Kay 9 Vial, Charles 8 Colliot-Thélène, Jean-Louis 7 Barbieri Viale, Luca 7 Rapinchuk, Andrei S. 6 Østvær, Paul Arne 6 Pirutka, Alena 6 Totaro, Burt 5 Asok, Aravind 5 Assim, Jilali 5 Ayoub, Joseph 5 Becher, Karim Johannes 5 Fu, Lie 5 Guletskiǐ, Vladimir 5 Heidersdorf, Thorsten 5 Hoffmann, Detlev W. 5 Karpenko, Nikita Aleksandrovich 5 Kelly, Shane P. 5 Kerz, Moritz C. 5 Levine, Marc Noel 5 Rosenschon, Andreas 4 Barry, Demba 4 Benoist, Olivier 4 Chernousov, Vladimir I. 4 Coulembier, Kevin 4 Fasel, Jean 4 Ganguly, Jyotirmoy 4 Gorchinskiĭ, Sergeĭ Olegovich 4 Huber-Klawitter, Annette 4 Joshi, Rohit 4 Miyazaki, Hiroyasu 4 Movahhedi, Abbas 4 Ostrik, Victor Valentinovich 4 Pham Anh Minh 4 Quéguiner-Mathieu, Anne 4 Ramdorai, Sujatha 3 Ancona, Giuseppe 3 Asensouyis, Hassan 3 Auel, Asher Natan 3 Bertapelle, Alessandra 3 Cassou-Noguès, Philippe 3 Chapman, Adam 3 Del Padrone, Alessio 3 Esnault, Hélène 3 Etingof, Pavel Il’ich 3 Gazaki, Evangelia 3 González-Sánchez, Jon 3 Hiranouchi, Toshiro 3 Hogadi, Amit 3 Hornbostel, Jens 3 Izquierdo, Diego 3 Jacobson, Jeremy Allen 3 Joshua, Roy 3 Kai, Wataru 3 Koizumi, Junnosuke 3 Krishna, Amalendu 3 Kulkarni, Girish 3 Kumallagov, D. Z. 3 Lehalleur, Simon Pepin 3 Mazigh, Youness 3 Morel, Fabien 3 Morin, Baptiste 3 Nguyen Quang Do, Thong 3 O’Sullivan, Peter L. 3 Panin, Ivan A. 3 Park, Jinhyun 3 Pedrini, Claudio 3 Sato, Kanetomo 3 Sawant, Anand 3 Schreieder, Stefan 3 Scully, Stephen 3 Spallone, Steven 3 Sugiyama, Rin 3 Szamuely, Tamás 3 Szpruch, Dani 3 Taylor, Martin J. 3 Vauclair, David 3 Zainoulline, Kirill 2 Aizenbud, Inna Entova 2 André, Yves 2 Andreatta, Fabrizio 2 Antieau, Benjamin 2 Bernardara, Marcello 2 Bertrand, Daniel 2 Biglari, Shahram 2 Biswas, Sazzad Ali ...and 299 more Authors all top 5 Cited in 124 Serials 42 Journal of Algebra 32 Advances in Mathematics 31 Journal of Pure and Applied Algebra 23 Mathematische Zeitschrift 17 Manuscripta Mathematica 16 Journal of Number Theory 16 Journal of \(K\)-Theory 14 Compositio Mathematica 13 Journal für die Reine und Angewandte Mathematik 13 Journal of Algebraic Geometry 13 Journal of the Institute of Mathematics of Jussieu 12 Transactions of the American Mathematical Society 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Duke Mathematical Journal 10 Communications in Algebra 9 \(K\)-Theory 9 Selecta Mathematica. New Series 9 Annals of \(K\)-Theory 8 Mathematische Annalen 8 Journal de Théorie des Nombres de Bordeaux 8 Documenta Mathematica 7 Inventiones Mathematicae 7 Algebra & Number Theory 6 Annales de l’Institut Fourier 5 Journal of Geometry and Physics 5 Archiv der Mathematik 5 Bulletin de la Société Mathématique de France 5 Rendiconti del Seminario Matematico della Università di Padova 5 Indagationes Mathematicae. New Series 4 Israel Journal of Mathematics 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Commentarii Mathematici Helvetici 4 Publications Mathématiques 4 Journal of the London Mathematical Society. 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Third Series 1 Results in Mathematics 1 Chinese Annals of Mathematics. Series B 1 Journal of the Ramanujan Mathematical Society 1 Sugaku Expositions 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Vestnik St. Petersburg University. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied Categorical Structures ...and 24 more Serials all top 5 Cited in 24 Fields 380 Algebraic geometry (14-XX) 185 Number theory (11-XX) 151 \(K\)-theory (19-XX) 73 Group theory and generalizations (20-XX) 72 Category theory; homological algebra (18-XX) 56 Algebraic topology (55-XX) 45 Field theory and polynomials (12-XX) 42 Associative rings and algebras (16-XX) 21 Manifolds and cell complexes (57-XX) 20 Commutative algebra (13-XX) 15 Nonassociative rings and algebras (17-XX) 8 Topological groups, Lie groups (22-XX) 8 Quantum theory (81-XX) 7 Differential geometry (53-XX) 5 Several complex variables and analytic spaces (32-XX) 4 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 2 History and biography (01-XX) 1 Operator theory (47-XX) Citations by Year