Edit Profile (opens in new tab) Skorobogatov, Alexei Nikolaïevitch Co-Author Distance Author ID: skorobogatov.alexei-nikolaievitch Published as: Skorobogatov, Alexei N.; Skorobogatov, A. N.; Skorobogatov, Alexei; Skorobogatov, Alexei Nikolaïevitch; Skorobogatov, Alexei. N.; Skorobogatov, Alexej N.; Skorobogatov, A. more...less Homepage: http://www.imperial.ac.uk/people/a.skorobogatov External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 83 Publications since 1985, including 2 Books 3 Contributions as Editor Co-Authors: 38 Co-Authors with 67 Joint Publications 977 Co-Co-Authors all top 5 Co-Authors 19 single-authored 17 Colliot-Thélène, Jean-Louis 9 Zarkhin, Yuriĭ Gennad’evich 6 Harari, David 5 Kunyavskiĭ, Boris Èmmanuilovich 5 Swinnerton-Dyer, Peter 3 Harpaz, Yonatan 3 Ieronymou, Evis 3 Orr, Martin 3 Serganova, Vera V. 3 Vlǎduţ, Sergei Georgievich 2 Birch, Bryan John 2 Reid, Miles 2 Siksek, Samir 2 Tsfasman, Michael A. 2 Valloni, Domenico 2 Yafaev, Andrei 1 Basile, Carmen Laura 1 Borovoi, Mikhail V. 1 Browning, Timothy Daniel 1 Coates, John Henry 1 Gvirtz, Damián 1 Heath-Brown, Roger 1 Lazda, Christopher 1 Loughran, Daniel 1 Matthiesen, Lilian 1 Pál, Ambrus 1 Rolland, Robert 1 Rotger, Victor 1 Salberger, Per 1 Sankaran, Gregory Kumar 1 Schindler, Damaris 1 Schlank, Tomer M. 1 Shparlinski, Igor E. 1 Smeets, Arne 1 Sofos, Efthymios 1 Tapia, Joseph 1 Varchenko, Alexander Nikolaevich 1 Wittenberg, Olivier all top 5 Serials 5 Duke Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 3 Israel Journal of Mathematics 3 Russian Mathematical Surveys 3 Advances in Mathematics 3 Compositio Mathematica 3 Inventiones Mathematicae 2 Mathematical Notes 2 Problems of Information Transmission 2 American Journal of Mathematics 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of the London Mathematical Society. Second Series 2 IMRN. International Mathematics Research Notices 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of the European Mathematical Society (JEMS) 2 London Mathematical Society Lecture Note Series 2 Algebra & Number Theory 1 Discrete Applied Mathematics 1 IEEE Transactions on Information Theory 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Arithmetica 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mathematika 1 Nagoya Mathematical Journal 1 Transactions of the American Mathematical Society 1 \(K\)-Theory 1 Designs, Codes and Cryptography 1 L’Enseignement Mathématique. 2e Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Journal of Algebraic Geometry 1 Mathematical Research Letters 1 Sbornik: Mathematics 1 Annals of Mathematics. Second Series 1 Moscow Mathematical Journal 1 Journal of the Institute of Mathematics of Jussieu 1 Pure and Applied Mathematics Quarterly 1 Cambridge Tracts in Mathematics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Épijournal de Géométrie Algébrique. EPIGA all top 5 Fields 75 Algebraic geometry (14-XX) 40 Number theory (11-XX) 6 Information and communication theory, circuits (94-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 857 times in 438 Documents Cited by ▼ Year ▼ Torsors and rational points. Zbl 0972.14015Skorobogatov, A. 144 2001 Beyond the Manin obstruction. – Appendix A by S. Siksek: 4-descent. – Appendix B: The Grothendieck spectral sequence and the truncation functor. Zbl 0951.14013Skorobogatov, Alexei N. 35 1999 A finiteness theorem for the Brauer group of abelian varieties and K3 surfaces. Zbl 1157.14008Skorobogatov, Alexei N.; Zarhin, Yuri G. 34 2008 Equivariant compactification of a torus (after Brylinski and Künnemann). Zbl 1078.14076Colliot-Théléne, J.-L.; Harari, D.; Skorobogatov, A. N. 27 2005 Descent on fibrations over the projective line. Zbl 0880.14008Skorobogatov, Alexei N. 27 1996 The Brauer-Grothendieck group. Zbl 1490.14001Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 25 2021 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 24 1997 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 On the Brauer group of diagonal quartic surfaces. With an appendix by Peter Swinnerton-Dyer. Zbl 1239.14013Ieronymou, Evis; Skorobogatov, Alexei N.; Zarhin, Yuri G. 20 2011 Del Pezzo surfaces of degree four. Zbl 0705.14039Kunyavskij, B. Eh.; Skorobogatov, A. N.; Tsfasman, M. A. 19 1989 The elementary obstruction and homogeneous spaces. Zbl 1135.14013Borovoi, M.; Colliot-Thélène, J.-L.; Skorobogatov, A. N. 17 2008 Exponential sums, the geometry of hyperplane sections, and some diophantine problems. Zbl 0774.11045Skorobogatov, Alexei N. 16 1992 The Brauer group and the Brauer-Manin set of products of varieties. Zbl 1295.14021Skorobogatov, Alexei N.; Zarhin, Yuri G. 16 2014 Odd order Brauer-Manin obstruction on diagonal quartic surfaces. Zbl 1388.14071Ieronymou, Evis; Skorobogatov, Alexei N. 16 2015 Rational solutions of certain equations involving norms. Zbl 1023.11033Heath-Brown, Roger; Skorobogatov, Alexei 15 2002 Galois descent on the Brauer group. (Descente galoisienne sur le groupe de Brauer.) Zbl 1317.14042Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 15 2013 2-descent on elliptic curves and rational points on certain Kummer surfaces. Zbl 1085.14021Skorobogatov, Alexei; Swinnerton-Dyer, Peter 15 2005 Exponential sums and rational points on complete intersections. Zbl 0719.11086Shparlinskij, Igor E.; Skorobogatov, Alexej N. 15 1990 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. 15 1993 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 On the fibration method for proving the Hasse principle and weak approximation. Appendix: A criterion for weak approximation on linear algebraic groups by B. È. Kunyavskij and A. N. Skorobogatov. Zbl 0748.14002Skorobogatov, A. N. 14 1990 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 Good reduction of the Brauer-Manin obstruction. Zbl 1317.14046Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 14 2013 Non-abelian descent and the arithmetic of Enriques surfaces. Zbl 1099.14008Harari, David; Skorobogatov, Alexei 13 2005 Weak approximation for surfaces defined by two quadratic forms. Zbl 0770.14019Salberger, P.; Skorobogatov, A. N. 13 1991 Finiteness theorems for \(K3\) surfaces and abelian varieties of CM type. Zbl 1452.14016Orr, Martin; Skorobogatov, Alexei N. 13 2018 Rational points on pencils of conics and quadrics with many degenerate fibres. Zbl 1296.14015Browning, Tim D.; Matthiesen, Lilian; Skorobogatov, Alexei N. 12 2014 Del Pezzo surfaces and representation theory. Zbl 1170.14026Serganova, Vera V.; Skorobogatov, Alexei N. 12 2007 Non-abelian cohomology and rational points. Zbl 1019.14012Harari, David; Skorobogatov, Alexei N. 12 2002 Descent on fibrations over P\(^1_k\) revisited. Zbl 1024.14003Colliot-Thélène, J.-L.; Skorobogatov, A. N. 12 2000 Descent theory for open varieties. Zbl 1290.14014Harari, David; Skorobogatov, Alexei N. 11 2013 The Brauer group of Kummer surfaces and torsion of elliptic curves. Zbl 1256.14036Skorobogatov, Alexei N.; Zarhin, Yuri G. 11 2012 The Hardy-Littlewood conjecture and rational points. Zbl 1318.14024Harpaz, Yonatan; Skorobogatov, Alexei N.; Wittenberg, Olivier 10 2014 Pathologies of the Brauer-Manin obstruction. Zbl 1365.14025Colliot-Thélène, Jean-Louis; Pál, Ambrus; Skorobogatov, Alexei N. 10 2016 Arithmetic on certain quadric bundles of relative dimension 2. I. Zbl 0692.14001Skorobogatov, A. N. 10 1990 On a theorem of Enriques–Swinnerton-Dyer. Zbl 0811.14020Skorobogatov, Alexei N. 10 1993 Kummer varieties and their Brauer groups. Zbl 1398.14029Skorobogatov, Alexei N.; Zarhin, Yuri G. 9 2017 Descent obstruction is equivalent to étale Brauer-Manin obstruction. Zbl 1180.14017Skorobogatov, Alexei 8 2009 Hasse principle for Kummer varieties. Zbl 1369.14032Harpaz, Yonatan; Skorobogatov, Alexei 7 2016 Failure of the Hasse principle for Atkin-Lehner quotients of Shimura curves over \(\mathbb Q\). Zbl 1087.11042Rotger, Victor; Skorobogatov, Alexei; Yafaev, Andrei 7 2005 On the decoding of algebraic-geometric codes. Zbl 0738.94020Skorobogatov, Alexei N.; Vlǎduţ, Sergei G. 7 1990 Singular curves and the étale Brauer-Manin obstruction for surfaces. (Courbes singulières et obstruction de Brauer-Manin étale pour les surfaces.) Zbl 1308.14024Harpaz, Yonatan; Skorobogatov, Alexei N. 7 2014 Shimura coverings of Shimura curves and the Manin obstruction. Zbl 1131.11037Skorobogatov, Alexei 6 2005 Del Pezzo surfaces of degree 4 and their relation to Kummer surfaces. Zbl 1198.14035Skorobogatov, Alexei 6 2010 Cohomology and the Brauer group of double covers. Zbl 1372.14011Skorobogatov, Alexei N. 5 2017 Norms as products of linear polynomials. Zbl 1295.14025Schindler, Damaris; Skorobogatov, Alexei 5 2014 On the equations for universal torsors over del Pezzo surfaces. Zbl 1193.14051Serganova, Vera V.; Skorobogatov, Alexei. N. 5 2010 Descent on toric fibrations. Zbl 1356.14017Skorobogatov, Alexei N. 4 2015 R-equivalence on conic bundles of degree 4. Zbl 0665.14021Colliot-Thélène, J.-L.; Skorobogatov, A. N. 4 1987 On the elementary obstruction to the existence of rational points. Zbl 1134.14012Skorobogatov, A. N. 4 2007 On the number of representations of matroids over finite fields. Zbl 0872.05007Skorobogatov, A. N. 4 1996 Descent on certain Shimura curves. Zbl 1160.11331Skorobogatov, Alexei; Yafaev, Andrei 4 2004 On the Hasse principle for bielliptic surfaces. Zbl 1073.14052Basile, Carmen Laura; Skorobogatov, Alexei 4 2003 A finiteness theorem for the Brauer group of \(K3\) surfaces in odd characteristic. Zbl 1347.14003Skorobogatov, Alexei N.; Zarhin, Yuri G. 3 2015 On a Shimura curve that is a counterexample to the Hasse principle. Zbl 1104.11031Siksek, Samir; Skorobogatov, Alexei 3 2003 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 Linear codes, strata of Grassmannians, and the problems of Segre. Zbl 0809.94022Skorobogatov, Alexei N. 3 1992 The combinatorics and geometry of Del Pezzo surfaces of degree four. Zbl 0612.14039Kunyavskij, B. Eh.; Skorobogatov, A. N.; Tsfasman, M. A. 2 1986 R-equivalence on conic bundles of degree 4. Zbl 0634.14024Colliot-Thélène, J.-L.; Skorobogatov, A. N. 2 1987 On uniformity conjectures for abelian varieties and \(K3\) surfaces. Zbl 1486.14060Orr, Martin; Skorobogatov, Alexei N.; Zarhin, Yuri G. 2 2021 Corrigendum to: “Odd order Brauer-Manin obstruction on diagonal quartic surfaces”. Zbl 1388.14072Ieronymou, Evis; Skorobogatov, Alexei N. 2 2017 Covering radius for long BCH codes. Zbl 0708.94015Vleduts, S. G.; Skorobogatov, A. N. 2 1989 The Brauer group of torsors and its arithmetic applications. Zbl 1115.11032Harari, David; Skorobogatov, Alexei N. 2 2003 Weight distributions of subfield subcodes of algebraic-geometrical codes. Zbl 0732.94012Vlǎdut, S. G.; Skorobogatov, A. N. 2 1991 The parameters of subcodes of algebraic-geometric codes over prime subfields. Zbl 0754.94017Skorobogatov, Alexei N. 2 1991 Weak approximation in algebraic groups and homogeneous spaces. Zbl 0815.20036Kunyavskij, B. E.; Skorobogatov, A. N. 2 1992 Pseudo-split fibers and arithmetic surjectivity. Zbl 1459.14009Loughran, Daniel; Skorobogatov, Alexei N.; Smeets, Arne 2 2020 Cohomology and the Brauer groups of diagonal surfaces. Zbl 1503.14022Gvirtz, Damián; Skorobogatov, Alexei N. 2 2022 Birational invariants of rational surfaces. Zbl 0615.14005Skorobogatov, A. N. 1 1986 Maximal tori in semisimple groups and rational surfaces. Zbl 0618.14028Kunyavskij, B. Eh.; Skorobogatov, A. N. 1 1986 Enumeration of configurations in the projective plane. (Dénombrement des configurations dans le plan projectif.) Zbl 0881.51013Rolland, Robert; Skorobogatov, Alexei N. 1 1996 Adjoint representation of \(E_{8}\) and del Pezzo surfaces of degree 1. Zbl 1257.14025Serganova, Vera V.; Skorobogatov, Alexei N. 1 2011 Automorphisms and forms of toric quotients of homogeneous spaces. Zbl 1199.14013Skorobogatov, A. N. 1 2009 Reduction of Kummer surfaces modulo 2 in the non-supersingular case. Zbl 07694984Lazda, Christopher; Skorobogatov, Alexei 1 2023 Reduction of Kummer surfaces modulo 2 in the non-supersingular case. Zbl 07694984Lazda, Christopher; Skorobogatov, Alexei 1 2023 Cohomology and the Brauer groups of diagonal surfaces. Zbl 1503.14022Gvirtz, Damián; Skorobogatov, Alexei N. 2 2022 The Brauer-Grothendieck group. Zbl 1490.14001Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 25 2021 On uniformity conjectures for abelian varieties and \(K3\) surfaces. Zbl 1486.14060Orr, Martin; Skorobogatov, Alexei N.; Zarhin, Yuri G. 2 2021 Pseudo-split fibers and arithmetic surjectivity. Zbl 1459.14009Loughran, Daniel; Skorobogatov, Alexei N.; Smeets, Arne 2 2020 Finiteness theorems for \(K3\) surfaces and abelian varieties of CM type. Zbl 1452.14016Orr, Martin; Skorobogatov, Alexei N. 13 2018 Kummer varieties and their Brauer groups. Zbl 1398.14029Skorobogatov, Alexei N.; Zarhin, Yuri G. 9 2017 Cohomology and the Brauer group of double covers. Zbl 1372.14011Skorobogatov, Alexei N. 5 2017 Corrigendum to: “Odd order Brauer-Manin obstruction on diagonal quartic surfaces”. Zbl 1388.14072Ieronymou, Evis; Skorobogatov, Alexei N. 2 2017 Pathologies of the Brauer-Manin obstruction. Zbl 1365.14025Colliot-Thélène, Jean-Louis; Pál, Ambrus; Skorobogatov, Alexei N. 10 2016 Hasse principle for Kummer varieties. Zbl 1369.14032Harpaz, Yonatan; Skorobogatov, Alexei 7 2016 Odd order Brauer-Manin obstruction on diagonal quartic surfaces. Zbl 1388.14071Ieronymou, Evis; Skorobogatov, Alexei N. 16 2015 Descent on toric fibrations. Zbl 1356.14017Skorobogatov, Alexei N. 4 2015 A finiteness theorem for the Brauer group of \(K3\) surfaces in odd characteristic. Zbl 1347.14003Skorobogatov, Alexei N.; Zarhin, Yuri G. 3 2015 The Brauer group and the Brauer-Manin set of products of varieties. Zbl 1295.14021Skorobogatov, Alexei N.; Zarhin, Yuri G. 16 2014 Rational points on pencils of conics and quadrics with many degenerate fibres. Zbl 1296.14015Browning, Tim D.; Matthiesen, Lilian; Skorobogatov, Alexei N. 12 2014 The Hardy-Littlewood conjecture and rational points. Zbl 1318.14024Harpaz, Yonatan; Skorobogatov, Alexei N.; Wittenberg, Olivier 10 2014 Singular curves and the étale Brauer-Manin obstruction for surfaces. (Courbes singulières et obstruction de Brauer-Manin étale pour les surfaces.) Zbl 1308.14024Harpaz, Yonatan; Skorobogatov, Alexei N. 7 2014 Norms as products of linear polynomials. Zbl 1295.14025Schindler, Damaris; Skorobogatov, Alexei 5 2014 Galois descent on the Brauer group. (Descente galoisienne sur le groupe de Brauer.) Zbl 1317.14042Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 15 2013 Good reduction of the Brauer-Manin obstruction. Zbl 1317.14046Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. 14 2013 Descent theory for open varieties. Zbl 1290.14014Harari, David; Skorobogatov, Alexei N. 11 2013 The Brauer group of Kummer surfaces and torsion of elliptic curves. Zbl 1256.14036Skorobogatov, Alexei N.; Zarhin, Yuri G. 11 2012 On the Brauer group of diagonal quartic surfaces. With an appendix by Peter Swinnerton-Dyer. Zbl 1239.14013Ieronymou, Evis; Skorobogatov, Alexei N.; Zarhin, Yuri G. 20 2011 Adjoint representation of \(E_{8}\) and del Pezzo surfaces of degree 1. Zbl 1257.14025Serganova, Vera V.; Skorobogatov, Alexei N. 1 2011 Del Pezzo surfaces of degree 4 and their relation to Kummer surfaces. Zbl 1198.14035Skorobogatov, Alexei 6 2010 On the equations for universal torsors over del Pezzo surfaces. Zbl 1193.14051Serganova, Vera V.; Skorobogatov, Alexei. N. 5 2010 Descent obstruction is equivalent to étale Brauer-Manin obstruction. Zbl 1180.14017Skorobogatov, Alexei 8 2009 Automorphisms and forms of toric quotients of homogeneous spaces. Zbl 1199.14013Skorobogatov, A. N. 1 2009 A finiteness theorem for the Brauer group of abelian varieties and K3 surfaces. Zbl 1157.14008Skorobogatov, Alexei N.; Zarhin, Yuri G. 34 2008 The elementary obstruction and homogeneous spaces. Zbl 1135.14013Borovoi, M.; Colliot-Thélène, J.-L.; Skorobogatov, A. N. 17 2008 Del Pezzo surfaces and representation theory. Zbl 1170.14026Serganova, Vera V.; Skorobogatov, Alexei N. 12 2007 On the elementary obstruction to the existence of rational points. Zbl 1134.14012Skorobogatov, A. N. 4 2007 Equivariant compactification of a torus (after Brylinski and Künnemann). Zbl 1078.14076Colliot-Théléne, J.-L.; Harari, D.; Skorobogatov, A. N. 27 2005 2-descent on elliptic curves and rational points on certain Kummer surfaces. Zbl 1085.14021Skorobogatov, Alexei; Swinnerton-Dyer, Peter 15 2005 Non-abelian descent and the arithmetic of Enriques surfaces. Zbl 1099.14008Harari, David; Skorobogatov, Alexei 13 2005 Failure of the Hasse principle for Atkin-Lehner quotients of Shimura curves over \(\mathbb Q\). Zbl 1087.11042Rotger, Victor; Skorobogatov, Alexei; Yafaev, Andrei 7 2005 Shimura coverings of Shimura curves and the Manin obstruction. Zbl 1131.11037Skorobogatov, Alexei 6 2005 Descent on certain Shimura curves. Zbl 1160.11331Skorobogatov, Alexei; Yafaev, Andrei 4 2004 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 On the Hasse principle for bielliptic surfaces. Zbl 1073.14052Basile, Carmen Laura; Skorobogatov, Alexei 4 2003 On a Shimura curve that is a counterexample to the Hasse principle. Zbl 1104.11031Siksek, Samir; Skorobogatov, Alexei 3 2003 The Brauer group of torsors and its arithmetic applications. Zbl 1115.11032Harari, David; Skorobogatov, Alexei N. 2 2003 Rational solutions of certain equations involving norms. Zbl 1023.11033Heath-Brown, Roger; Skorobogatov, Alexei 15 2002 Non-abelian cohomology and rational points. Zbl 1019.14012Harari, David; Skorobogatov, Alexei N. 12 2002 Torsors and rational points. Zbl 0972.14015Skorobogatov, A. 144 2001 Descent on fibrations over P\(^1_k\) revisited. Zbl 1024.14003Colliot-Thélène, J.-L.; Skorobogatov, A. N. 12 2000 Beyond the Manin obstruction. – Appendix A by S. Siksek: 4-descent. – Appendix B: The Grothendieck spectral sequence and the truncation functor. Zbl 0951.14013Skorobogatov, Alexei N. 35 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 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 24 1997 Descent on fibrations over the projective line. Zbl 0880.14008Skorobogatov, Alexei N. 27 1996 On the number of representations of matroids over finite fields. Zbl 0872.05007Skorobogatov, A. N. 4 1996 Enumeration of configurations in the projective plane. (Dénombrement des configurations dans le plan projectif.) Zbl 0881.51013Rolland, Robert; Skorobogatov, Alexei N. 1 1996 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. 15 1993 On a theorem of Enriques–Swinnerton-Dyer. Zbl 0811.14020Skorobogatov, Alexei N. 10 1993 Exponential sums, the geometry of hyperplane sections, and some diophantine problems. Zbl 0774.11045Skorobogatov, Alexei N. 16 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 Linear codes, strata of Grassmannians, and the problems of Segre. Zbl 0809.94022Skorobogatov, Alexei N. 3 1992 Weak approximation in algebraic groups and homogeneous spaces. Zbl 0815.20036Kunyavskij, B. E.; Skorobogatov, A. N. 2 1992 Weak approximation for surfaces defined by two quadratic forms. Zbl 0770.14019Salberger, P.; Skorobogatov, A. N. 13 1991 Weight distributions of subfield subcodes of algebraic-geometrical codes. Zbl 0732.94012Vlǎdut, S. G.; Skorobogatov, A. N. 2 1991 The parameters of subcodes of algebraic-geometric codes over prime subfields. Zbl 0754.94017Skorobogatov, Alexei N. 2 1991 Exponential sums and rational points on complete intersections. Zbl 0719.11086Shparlinskij, Igor E.; Skorobogatov, Alexej N. 15 1990 On the fibration method for proving the Hasse principle and weak approximation. Appendix: A criterion for weak approximation on linear algebraic groups by B. È. Kunyavskij and A. N. Skorobogatov. Zbl 0748.14002Skorobogatov, A. N. 14 1990 Arithmetic on certain quadric bundles of relative dimension 2. I. Zbl 0692.14001Skorobogatov, A. N. 10 1990 On the decoding of algebraic-geometric codes. Zbl 0738.94020Skorobogatov, Alexei N.; Vlǎduţ, Sergei G. 7 1990 Del Pezzo surfaces of degree four. Zbl 0705.14039Kunyavskij, B. Eh.; Skorobogatov, A. N.; Tsfasman, M. A. 19 1989 Covering radius for long BCH codes. Zbl 0708.94015Vleduts, S. G.; Skorobogatov, A. N. 2 1989 R-equivalence on conic bundles of degree 4. Zbl 0665.14021Colliot-Thélène, J.-L.; Skorobogatov, A. N. 4 1987 R-equivalence on conic bundles of degree 4. Zbl 0634.14024Colliot-Thélène, J.-L.; Skorobogatov, A. N. 2 1987 The combinatorics and geometry of Del Pezzo surfaces of degree four. Zbl 0612.14039Kunyavskij, B. Eh.; Skorobogatov, A. N.; Tsfasman, M. A. 2 1986 Birational invariants of rational surfaces. Zbl 0615.14005Skorobogatov, A. N. 1 1986 Maximal tori in semisimple groups and rational surfaces. Zbl 0618.14028Kunyavskij, B. Eh.; Skorobogatov, A. N. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 369 Authors 31 Skorobogatov, Alexei Nikolaïevitch 18 Colliot-Thélène, Jean-Louis 13 Harari, David 12 Wittenberg, Olivier 10 Shlapentokh, Alexandra 10 Viray, Bianca 9 Browning, Timothy Daniel 9 Creutz, Brendan 9 Loughran, Daniel 9 Várilly-Alvarado, Anthony 9 Zarkhin, Yuriĭ Gennad’evich 8 Harpaz, Yonatan 8 Liang, Yongqi 8 Shparlinski, Igor E. 8 Tschinkel, Yuri 7 Demarche, Cyril 7 Ieronymou, Evis 7 Sofos, Efthymios 7 Wei, Dasheng 6 Bright, Martin 6 Jahnel, Jörg 6 Xu, Fei 5 Cao, Yang 5 Derenthal, Ulrich 5 Elsenhans, Andreas-Stephan 5 Gonzalez-Avilés, Cristian D. 5 Lucchini Arteche, Giancarlo 5 Nakahara, Masahiro 5 Nguyễn Quôc Thăng 5 Parimala, Raman 5 Poonen, Bjorn 4 de la Bretèche, Régis 4 Flynn, Eugene Victor 4 Kresch, Andrew 4 Schindler, Damaris 4 Smeets, Arne 4 Suresh, Venapally 4 Szamuely, Tamás 4 Valloni, Domenico 4 Velasco, Mauricio 4 Voloch, José Felipe 3 Balestrieri, Francesca 3 Bitan, Rony A. 3 Borovoi, Mikhail V. 3 Couvreur, Alain 3 Duncan, Alexander 3 Galindo Pastor, Carlos 3 Gvirtz, Damián 3 Hassett, Brendan 3 Heath-Brown, Roger 3 Izquierdo, Diego 3 Kannan, Subramaniam Senthamarai 3 Laface, Antonio 3 Logan, Adam 3 Mitankin, Vladimir 3 Nguyen Ngoc Dong Quan 3 Orr, Martin 3 Peyre, Emmanuel 3 Pieropan, Marta 3 Salberger, Per 3 Schlank, Tomer M. 3 Stix, Jakob 3 Sturmfels, Bernd 3 Swinnerton-Dyer, Peter 2 Agostini, Daniele 2 Ahmadi, Omran 2 Arai, Keisuke 2 Baldi, Gregorio 2 Banwait, Barinder S. 2 Bary-Soroker, Lior 2 Berg, Jennifer 2 Bright, M. J. 2 Britz, Thomas 2 Bruin, Nils 2 Campana, Frédéric 2 Corn, Patrick 2 Demeio, Julian Lawrence 2 Destagnol, Kevin 2 Fité, Francesc 2 Ford, Timothy J. 2 Frei, Christopher 2 Gillibert, Florence 2 Grant, Gregory R. 2 Hoshi, Akinari 2 Hu, Su 2 Ito, Kazuhiro 2 Kahn, Bruno 2 Kanai, Kazuki 2 Karpenko, Nikita Aleksandrovich 2 Kunyavskiĭ, Boris Èmmanuilovich 2 Li, Yan 2 Mak, Kit-Ho 2 Manduchi, Elisabetta 2 Newton, Rachel 2 Overkamp, Otto 2 Pirutka, Alena 2 Reichstein, Zinovy B. 2 Salgado, Cecilia 2 Santens, Tim 2 Sato, Kazuki ...and 269 more Authors all top 5 Cited in 106 Serials 23 Journal of Number Theory 19 Advances in Mathematics 18 Transactions of the American Mathematical Society 16 Duke Mathematical Journal 15 Journal de Théorie des Nombres de Bordeaux 13 Mathematische Annalen 12 Journal of Algebra 12 Manuscripta Mathematica 11 International Journal of Number Theory 10 Annales de l’Institut Fourier 9 Mathematics of Computation 9 Compositio Mathematica 9 Journal of the London Mathematical Society. Second Series 9 Journal of the Institute of Mathematics of Jussieu 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Journal für die Reine und Angewandte Mathematik 8 Mathematische Zeitschrift 8 Algebra & Number Theory 7 Israel Journal of Mathematics 7 Acta Arithmetica 7 Proceedings of the American Mathematical Society 7 Research in Number Theory 6 Bulletin of the London Mathematical Society 6 Journal of Pure and Applied Algebra 6 Annals of Mathematics. Second Series 5 Inventiones Mathematicae 5 Journal of the American Mathematical Society 5 Journal of Algebraic Geometry 5 Finite Fields and their Applications 5 Journal of the European Mathematical Society (JEMS) 5 European Journal of Mathematics 4 Bulletin de la Société Mathématique de France 4 Nagoya Mathematical Journal 4 Designs, Codes and Cryptography 4 Documenta Mathematica 4 Central European Journal of Mathematics 3 Bulletin of the Australian Mathematical Society 3 Communications in Algebra 3 Discrete Mathematics 3 Archiv der Mathematik 3 Geometriae Dedicata 3 Proceedings of the Japan Academy. Series A 3 Proceedings of the London Mathematical Society. Third Series 3 Journal of Symbolic Computation 3 Journal of the Ramanujan Mathematical Society 3 Geometric and Functional Analysis. GAFA 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Mathematical Sciences (New York) 3 Bulletin des Sciences Mathématiques 3 Transformation Groups 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Annales Henri Lebesgue 2 Discrete Applied Mathematics 2 Mathematical Notes 2 Russian Mathematical Surveys 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Functiones et Approximatio. Commentarii Mathematici 2 The Journal of Symbolic Logic 2 Mathematika 2 Monatshefte für Mathematik 2 \(K\)-Theory 2 Indagationes Mathematicae. New Series 2 Applicable Algebra in Engineering, Communication and Computing 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Forum of Mathematics, Sigma 1 Indian Journal of Pure & Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tokyo Journal of Mathematics 1 Annals of Pure and Applied Logic 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Computational Complexity 1 Journal of Algebraic Combinatorics 1 Selecta Mathematica. New Series 1 Revista Matemática Complutense 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Algebraic & Geometric Topology 1 Moscow Mathematical Journal 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V ...and 6 more Serials all top 5 Cited in 28 Fields 356 Algebraic geometry (14-XX) 279 Number theory (11-XX) 31 Group theory and generalizations (20-XX) 23 Field theory and polynomials (12-XX) 17 Information and communication theory, circuits (94-XX) 11 Mathematical logic and foundations (03-XX) 9 Associative rings and algebras (16-XX) 8 Commutative algebra (13-XX) 8 \(K\)-theory (19-XX) 6 Category theory; homological algebra (18-XX) 5 Combinatorics (05-XX) 5 Algebraic topology (55-XX) 4 Differential geometry (53-XX) 4 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Manifolds and cell complexes (57-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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