Edit Profile (opens in new tab) Zarkhin, Yuriĭ Gennad’evich Compute Distance To: Compute Author ID: zarhin.yuri-g Published as: Zarhin, Yuri G.; Zarkhin, Yu. G.; Zarhin, Yu. G.; Zarkhin, Yuri G.; Zarhin, Yuri; Zarhin, Yu G.; Zarkhin, Yurii G.; Zarkhin, Yuri; Zarkhin, Yu.; Zarhin, Yu. more...less Further Spellings: Зархин Юрий Геннадьевич External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · GND · IdRef Documents Indexed: 164 Publications since 1972, including 1 Book 5 Contributions as Editor · 2 Further Contributions Co-Authors: 64 Co-Authors with 67 Joint Publications 1,779 Co-Co-Authors all top 5 Co-Authors 103 single-authored 16 Silverberg, Alice 7 Skorobogatov, Alexei Nikolaïevitch 6 Popov, Vladimir Leonidovich 5 Bandman, Tatiana M. 5 Bekker, Boris Mikhaĭlovich 5 Manin, Yuri Ivanovich 4 Moonen, Ben 4 Orlov, Dmitri O. 4 Parshin, Alexei N. 3 Bogomolov, Fedor Alekseivich 3 Oort, Frans 2 Bazykin, A. D. 2 Cheltsov, Ivan Anatol’evich 2 Elkin, Arsen 2 Kulikov, Viktor Stepanovich 2 Lenstra, Hendrik W. jun. 2 Nikulin, Vyacheslav Valentinovich 2 Reid, Miles 2 Shafarevich, Igor’ Rostislavovich 2 Tschinkel, Yuri 2 Vostokov, Sergeĭ Vladimirovich 2 Xue, Jiangwei 1 Afendikov, Andrei L. 1 Alexeev, Valery A. 1 Aponina, E. A. 1 Aptekarev, Alexander Ivanovich 1 Ataullakhanov, Fazoil I. 1 Balabaev, N. K. 1 Biktashev, Vadim N. 1 Biktasheva, I. V. 1 Birkar, Caucher 1 Borisyuk, Roman M. 1 Cullinan, John 1 Dagkesamanskii, R. D. 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Ieronymou, Evis 1 Ilyashenko, Yulij Sergeevich 1 Iskovskikh, Vasiliĭ Alekseevich 1 Kaledin, Dmitry B. 1 Khibnik, Alexander I. 1 Lakhno, Victor D. 1 Lang, Serge 1 Lunin, V. Yu. 1 Lunina, N. L. 1 Markushevich, Dimitri Genrikhovich 1 Nesterenko, Yuriĭ Valentinovich 1 Nikolaev, Eugene V. 1 Orr, Martin 1 Osipov, Denis Vasil’evich 1 Patrikis, Stefan T. 1 Posvyanskii, Vladimir S. 1 Prokhorov, A. N. Parshin. Yu. G. 1 Prokhorov, Yuriĭ Gennad’evich 1 Roitberg, M. A. 1 Ryaben’kiĭ, Viktor Solomonovich 1 Ryashko, Lev Borisovich 1 Sergeev, Armen Glebovich 1 Sinaĭ, Yakov Grigor’evich 1 Swinnerton-Dyer, Peter 1 Tikhomirov, Alexander Sergeevich 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Tokarev, A. A. 1 Ulmer, Douglas L. 1 Urzhumtsev, Alexandre G. 1 Vasil’ev, Viktor Anatol’evich 1 Voloch, José Felipe 1 Vvedenskaya, Nikita Dmitrievna 1 Zheglov, Alexander B. all top 5 Serials 7 Mathematics of the USSR. Izvestiya 5 Mathematical Notes 5 Russian Mathematical Surveys 5 Journal of Algebra 5 Mathematical Research Letters 5 European Journal of Mathematics 4 Duke Mathematical Journal 4 Journal of Pure and Applied Algebra 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Annalen 4 Izvestiya: Mathematics 4 Transformation Groups 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Matematicheskie Zametki 3 Functional Analysis and its Applications 3 Inventiones Mathematicae 3 Mathematische Zeitschrift 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Sbornik: Mathematics 3 Doklady Mathematics 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Journal of Number Theory 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 Journal of the Ramanujan Mathematical Society 2 Mathematics of the USSR, Sbornik 2 Journal of Algebraic Geometry 2 St. Petersburg Mathematical Journal 2 Central European Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Progress in Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the Moscow Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Designs, Codes and Cryptography 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Indagationes Mathematicae. New Series 1 Selecta Mathematica 1 Journal of Mathematical Sciences (New York) 1 Journal of the European Mathematical Society (JEMS) 1 Moscow Mathematical Journal 1 Journal of the Institute of Mathematics of Jussieu 1 Pure and Applied Mathematics Quarterly 1 Contemporary Mathematics 1 Algebra & Number Theory 1 Bulletin of Mathematical Sciences 1 Algebraic Geometry 1 Mathematics Research Reports all top 5 Fields 151 Algebraic geometry (14-XX) 71 Number theory (11-XX) 18 Nonassociative rings and algebras (17-XX) 11 Group theory and generalizations (20-XX) 6 Several complex variables and analytic spaces (32-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Topological groups, Lie groups (22-XX) 3 Associative rings and algebras (16-XX) 3 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Commutative algebra (13-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 127 Publications have been cited 658 times in 373 Documents Cited by ▼ Year ▼ Hodge groups of K3 surfaces. Zbl 0506.14034Zarkhin, Yu. G. 32 1983 A finiteness theorem for the Brauer group of abelian varieties and K3 surfaces. Zbl 1157.14008Skorobogatov, Alexei N.; Zarhin, Yuri G. 31 2008 A finiteness theorem for unpolarized Abelian varieties over number fields with prescribed places of bad reduction. Zbl 0557.14024Zarhin, Yu. G. 24 1985 Hyperelliptic Jacobians without complex multiplication. Zbl 0959.14013Zarhin, Yuri G. 21 2000 Hodge classes on abelian varieties of low dimension. Zbl 0947.14005Moonen, B. J. J.; Zarhin, Yu. G. 18 1999 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. 18 2011 Theta groups and products of abelian and rational varieties. Zbl 1311.14018Zarhin, Yuri G. 17 2014 Weights of simple Lie algebras in the cohomology of algebraic varieties. Zbl 0579.14019Zarkhin, Yu. G. 12 1985 Endomorphisms and torsion of Abelian varieties. Zbl 0632.14035Zarkhin, Yu. G. 11 1987 Semistable reduction and torsion subgroups of abelian varieties. Zbl 0818.14017Silverberg, Alice; Zarkhin, Yuri G. 11 1995 Hodge classes and Tate classes on simple abelian fourfolds. Zbl 0874.14034Moonen, B. J. J.; Zarhin, Yu. G. 11 1995 Very simple 2-adic representations and hyperelliptic Jacobians. Zbl 1082.11039Zarhin, Yuri G. 11 2002 Surjectivity of certain word maps on \(\mathrm{PSL}(2,\mathbb {C})\) and \(\mathrm{SL}(2,\mathbb {C})\). Zbl 1392.20038Bandman, Tatiana; Zarhin, Yuri G. 11 2016 The endomorphism rings of jacobians of cyclic covers of the projective line. Zbl 1058.14064Zarhin, Yuri G. 10 2004 Endomorphism algebras of superelliptic Jacobians. Zbl 1086.11026Zarhin, Yuri G. 10 2005 The Brauer group of Kummer surfaces and torsion of elliptic curves. Zbl 1256.14036Skorobogatov, Alexei N.; Zarhin, Yuri G. 10 2012 Homomorphisms of abelian varieties. Zbl 1095.14041Zarhin, Yuri G. 9 2005 The Brauer group and the Brauer-Manin set of products of varieties. Zbl 1295.14021Skorobogatov, Alexei N.; Zarhin, Yuri G. 9 2014 Hyperelliptic Jacobians and modular representations. Zbl 1047.14015Zarhin, Yuri G. 9 2001 Isogenies of abelian varieties over fields of finite characteristic. Zbl 0329.14020Zarkhin, Yu. G. 9 1976 Endomorphisms of abelian varieties and points of finite order in characteristic \(p\). (Endomorphismen Abelscher Mannigfaltigkeiten und Punkte endlicher Ordnung in der Charakteristik \(p\).) Zbl 0358.14011Zarkhin, Yu. G. 8 1977 Endomorphisms of superelliptic Jacobians. Zbl 1166.14022Zarhin, Yuri G. 8 2009 Ordinary reduction of K3 surfaces. Zbl 1178.14039Bogomolov, Fedor A.; Zarhin, Yuri G. 8 2009 Noncommutative cohomologies and Mumford groups. (Nichtkommutative Kohomologien und Mumfordsche Gruppen.) Zbl 0289.14009Zarkhin, Yu. G. 8 1974 Abelian varieties in characteristic p. Zbl 0342.14011Zarkhin, Yu. G. 7 1976 Endomorphisms of Abelian varieties over fields of finite characteristic. Zbl 0345.14014Zarkhin, Yu. G. 7 1976 Kummer varieties and their Brauer groups. Zbl 1398.14029Skorobogatov, Alexei N.; Zarhin, Yuri G. 7 2017 Abelian varieties over fields of finite characteristic. Zbl 1296.11068Zarhin, Yuri G. 7 2014 Variations on a theme of Minkowski and Serre. Zbl 0885.14006Silverberg, A.; Zarhin, Yu. G. 7 1996 Hyperelliptic Jacobians without complex multiplication in positive characteristic. Zbl 1079.14512Zarhin, Yuri G. 7 2001 The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022Lenstra, Hendrik jun.; Zarhin, Yuri G. 7 1993 Torsion of Abelian varieties of finite characteristic. Zbl 0419.14021Zarkhin, Yu. G. 7 1978 Non-supersingular hyperelliptic Jacobians. Zbl 1079.14038Zarhin, Yuri G. 6 2004 Jordan groups, conic bundles and abelian varieties. Zbl 1388.14047Bandman, Tatiana; Zarhin, Yuri G. 6 2017 Abelian varieties having a reduction of \(K\)3 type. Zbl 0774.14039Zarkhin, Yuri G. 6 1992 Del Pezzo surfaces of degree 1 and Jacobians. Zbl 1222.14084Zarhin, Yu. G. 6 2008 Families of absolutely simple hyperelliptic Jacobians. Zbl 1186.14031Zarhin, Yuri G. 6 2010 Jordan groups and algebraic surfaces. Zbl 1375.14142Bandman, Tatiana; Zarhin, Yuri G. 6 2015 Jordan groups and elliptic ruled surfaces. Zbl 1357.14056Zarhin, Yuri G. 6 2015 Superelliptic Jacobians. Zbl 1152.14029Zarhin, Yuri G. 5 2007 \(p\)-adic abelian integrals and commutative Lie groups. Zbl 0884.14020Zarhin, Yu. G. 5 1996 On the Brauer group of an Abelian variety over a finite field. Zbl 0505.14034Zarkhin, Yu. G. 5 1982 Abelian subvarieties. Zbl 0861.14037Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G. 5 1996 Cyclic covers of the projective line, their jacobians and endomorphisms. Zbl 0988.14015Zarhin, Yuri G. 5 2002 Isogenies of abelian varieties. Zbl 0832.14034Silverberg, A.; Zarhin, Yu. G. 5 1993 Abelian varieties of \(K3\) type. Zbl 0827.14031Zarhin, Yuri G. 5 1993 Anabelian geometry and descent obstructions on moduli spaces. Zbl 1410.11086Patrikis, Stefan; Voloch, José; Zarhin, Yuri 5 2016 Division by 2 of rational points on elliptic curves. Zbl 1393.14030Bekker, B. M.; Zarhin, Yu. G. 5 2018 Endomorphisms of Abelian varieties and points of finite order in characteristic p. Zbl 0399.14027Zarkhin, Yu. G. 5 1977 Abelian varieties, \(\ell\)-adic representations and Lie algebras. Rank independence on \(\ell\). Zbl 0424.14015Zarkhin, Yu. G. 5 1979 A remark on endomorphisms of abelian varieties over function fields of finite characteristic. Zbl 0332.14016Zarkhin, Yu. G. 5 1975 Subgroups of inertia groups arising from Abelian varieties. Zbl 0966.14029Silverberg, A.; Zarhin, Yu. G. 4 1998 Torsion of abelian varieties, Weil classes and cyclotomic extensions. Zbl 0958.11047Zarhin, Yuri G. 4 1999 Finiteness problems in Diophantine geometry. Zbl 0672.14012Zarkhin, Yu. G.; Parshin, A. N. 4 1986 Polynomials in one variable and ranks of certain tangent maps. Zbl 1282.32008Zarhin, Yu. G. 4 2012 Very simple representations: variations on a theme of Clifford. Zbl 1129.20006Zarhin, Yuri G. 4 2005 The Tate conjecture for powers of ordinary K3 surfaces over finite fields. Zbl 0863.14004Zarhin, Yuri G. 4 1996 Weil classes on abelian varieties. Zbl 0887.14004Moonen, B. J. J.; Zarhin, Yu. G. 4 1998 Transcendental cycles on ordinary K3 surfaces over finite fields. Zbl 0819.14005Zarkhin, Yuri G. 4 1993 Abelian varieties of K3 type and \(l\)-adic representations. Zbl 0788.14039Zarkhin, Yuri G. 4 1991 Endomorphism algebras of hyperelliptic Jacobians and finite projective lines. Zbl 1115.14024Elkin, Arsen; Zarhin, Yuri G. 4 2006 Algebraic cycles over cubic fourfolds. Zbl 0742.14036Zarkhin, Yuri G. 4 1990 Galois groups of Mori trinomials and hyperelliptic curves with big monodromy. Zbl 1344.14021Zarhin, Yuri G. 4 2016 Height on families of Abelian varieties. Zbl 0263.14011Zarkhin, Yu. G.; Manin, Yu. I. 4 1973 Noncommutative cohomologies and Mumford groups. Zbl 0291.14015Zarkhin, Yu. G. 4 1974 Endomorphism rings of certain Jacobians in finite characteristic. Zbl 1044.11051Zarkhin, Yu. G. 3 2002 Linear semisimple Lie algebras containing an operator with small number of eigenvalues. Zbl 0592.17007Zarkhin, Yu. G. 3 1986 CM abelian varieties with almost ordinary reduction. Zbl 0843.14018Zarhin, Yuri G. 3 1995 Connectedness results for \(\ell\)-adic representations associated to abelian varieties. Zbl 1044.11586Silverberg, A.; Zarhin, Yu. G. 3 1995 Endomorphism algebras of complex tori. Zbl 0858.14024Oort, Frans; Zarhin, Yuri 3 1995 The Tate conjecture for non-simple abelian varieties over finite fields. Zbl 0831.14019Zarhin, Yu. G. 3 1994 Hodge classes on certain hyperelliptic Prymians. Zbl 1317.14069Zarhin, Yuri G. 3 2012 A finiteness theorem for the Brauer group of \(K3\) surfaces in odd characteristic. Zbl 1347.14003Skorobogatov, Alexei N.; Zarhin, Yuri G. 3 2015 Centers of Hodge groups of superelliptic Jacobians. Zbl 1198.14030Xue, Jiangwei; Zarhin, Yuri G. 3 2010 Homomorphisms of abelian varieties over finite fields. Zbl 1183.14035Zarhin, Yuri G. 3 2008 Abelian varieties, \(\ell\)-adic representations and Lie algebras. Rank independence on \(\ell\). Zbl 0406.14026Zarkhin, Yu. G. 3 1979 Abelian varieties without homotheties. Zbl 1128.11031Zarhin, Yuri G. 3 2007 Non-isogenous superelliptic Jacobians. Zbl 1102.14020Zarhin, Yuri G. 3 2006 Cubic surfaces and cubic threefolds, Jacobians and intermediate Jacobians. Zbl 1203.14045Zarhin, Yuri 3 2009 Two-dimensional families of hyperelliptic Jacobians with big monodromy. Zbl 1343.14025Zarhin, Yuri G. 3 2016 Height on families of abelian varieties. (Die Höhe auf Familien Abelscher Mannigfaltigkeiten.) Zbl 0256.14018Zarkhin, Yu. G.; Manin, Yu. I. 3 1972 Complex tori, theta groups and their Jordan properties. Zbl 1442.14047Zarhin, Yuri G. 3 2019 Semistable reduction of abelian varieties over extensions of small degree. Zbl 0938.11029Silverberg, A.; Zarhin, Yu. G. 2 1998 Division by 2 on odd-degree hyperelliptic curves and their Jacobians. Zbl 1419.14044Zarhin, Yu. G. 2 2019 Fundamentals of Diophantine geometry. (Osnovy diofantovoj geometrii). Transl. from the English by D. G. Markushevich. Transl. ed. and with a preface by Yu. I. Manin. With an appendix by Yu. G. Zarkhin and A. N. Parshin. Zbl 0644.14007Lang, Serge 2 1986 One-dimensional polynomial maps, periodic points and multipliers. Zbl 1282.37026Zarhin, Yu. G. 2 2013 Finite linear groups, lattices, and products of elliptic curves. Zbl 1111.14041Popov, Vladimir L.; Zarhin, Yuri G. 2 2006 Torsion points of order \(2g+1\) on odd degree hyperelliptic curves of genus \(g\). Zbl 1465.14031Bekker, Boris M.; Zarhin, Yuri G. 2 2020 Eigenvalues of Frobenius endomorphisms of abelian varieties of low dimension. Zbl 1397.11115Zarhin, Yuri G. 2 2015 Reduction of abelian varieties. Zbl 1029.14014Silverberg, A.; Zarhin, Yu. G. 2 2000 Polarizations on abelian varieties and self-dual \(l\)-adic representations of inertia groups. Zbl 1015.14021Silverberg, A.; Zarhin, Yu. G. 2 2001 Local heights and Néron pairings. Zbl 0879.14008Zarhin, Yu. G. 2 1995 Hyperelliptic Jacobians and simple groups \(U_3(2^m)\). Zbl 1001.14012Zarhin, Yuri G. 2 2003 Hyperelliptic Jacobians without complex multiplication, doubly transitive permutation groups and projective representations. Zbl 1079.14513Zarhin, Yuri G. 2 2002 Inertia groups and abelian surfaces. Zbl 1077.11047Silverberg, A.; Zarhin, Yu. G. 2 2005 Torsion of Abelian varieties of finite characteristic. Zbl 0355.14018Zarkhin, Yu. G. 2 1977 Abelian varieties, \(\ell\)-adic representations and \(\mathrm{SL}_2\). Zbl 0451.14015Zarkhin, Yu. G. 2 1980 Hodge groups of certain superelliptic Jacobians. Zbl 1226.14042Xue, Jiangwei; Zarhin, Yuri G. 2 2010 Ranks of Jacobians in towers of function fields. Zbl 1256.14024Ulmer, Douglas; Zarhin, Yuri G. 2 2010 Endomorphism algebras of hyperelliptic Jacobians and finite projective lines. II. Zbl 1198.14027Elkin, Arsen; Zarhin, Yuri G. 2 2010 Root systems in number fields. Zbl 1478.11129Popov, Vladimir L.; Zarhin, Yuri G. 1 2021 Bimeromorphic automorphism groups of certain \(\mathbb{P}^1\)-bundles. Zbl 1473.14021Bandman, Tatiana; Zarhin, Yuri G. 1 2021 Torsion points of order \(2g+1\) on odd degree hyperelliptic curves of genus \(g\). Zbl 1465.14031Bekker, Boris M.; Zarhin, Yuri G. 2 2020 Complex tori, theta groups and their Jordan properties. Zbl 1442.14047Zarhin, Yuri G. 3 2019 Division by 2 on odd-degree hyperelliptic curves and their Jacobians. Zbl 1419.14044Zarhin, Yu. G. 2 2019 Jordan properties of automorphism groups of certain open algebraic varieties. Zbl 1433.14008Bandman, Tatiana; Zarhin, Yuri G. 2 2019 Families of elliptic curves with rational torsion points of even order. Zbl 1442.14104Bekker, Boris M.; Zarhin, Yuri G. 1 2019 Division by 2 of rational points on elliptic curves. Zbl 1393.14030Bekker, B. M.; Zarhin, Yu. G. 5 2018 Endomorphism algebras of abelian varieties with special reference to superelliptic Jacobians. Zbl 1475.14055Zarhin, Yuri G. 2 2018 Kummer varieties and their Brauer groups. Zbl 1398.14029Skorobogatov, Alexei N.; Zarhin, Yuri G. 7 2017 Jordan groups, conic bundles and abelian varieties. Zbl 1388.14047Bandman, Tatiana; Zarhin, Yuri G. 6 2017 Surjectivity of certain word maps on \(\mathrm{PSL}(2,\mathbb {C})\) and \(\mathrm{SL}(2,\mathbb {C})\). Zbl 1392.20038Bandman, Tatiana; Zarhin, Yuri G. 11 2016 Anabelian geometry and descent obstructions on moduli spaces. Zbl 1410.11086Patrikis, Stefan; Voloch, José; Zarhin, Yuri 5 2016 Galois groups of Mori trinomials and hyperelliptic curves with big monodromy. Zbl 1344.14021Zarhin, Yuri G. 4 2016 Two-dimensional families of hyperelliptic Jacobians with big monodromy. Zbl 1343.14025Zarhin, Yuri G. 3 2016 Jordan groups and algebraic surfaces. Zbl 1375.14142Bandman, Tatiana; Zarhin, Yuri G. 6 2015 Jordan groups and elliptic ruled surfaces. Zbl 1357.14056Zarhin, Yuri G. 6 2015 A finiteness theorem for the Brauer group of \(K3\) surfaces in odd characteristic. Zbl 1347.14003Skorobogatov, Alexei N.; Zarhin, Yuri G. 3 2015 Eigenvalues of Frobenius endomorphisms of abelian varieties of low dimension. Zbl 1397.11115Zarhin, Yuri G. 2 2015 Theta groups and products of abelian and rational varieties. Zbl 1311.14018Zarhin, Yuri G. 17 2014 The Brauer group and the Brauer-Manin set of products of varieties. Zbl 1295.14021Skorobogatov, Alexei N.; Zarhin, Yuri G. 9 2014 Abelian varieties over fields of finite characteristic. Zbl 1296.11068Zarhin, Yuri G. 7 2014 One-dimensional polynomial maps, periodic points and multipliers. Zbl 1282.37026Zarhin, Yu. G. 2 2013 Homomorphisms of abelian varieties over geometric fields of finite characteristic. Zbl 1298.11055Zarhin, Yuri G. 1 2013 The Brauer group of Kummer surfaces and torsion of elliptic curves. Zbl 1256.14036Skorobogatov, Alexei N.; Zarhin, Yuri G. 10 2012 Polynomials in one variable and ranks of certain tangent maps. Zbl 1282.32008Zarhin, Yu. G. 4 2012 Hodge classes on certain hyperelliptic Prymians. Zbl 1317.14069Zarhin, Yuri G. 3 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. 18 2011 Families of absolutely simple hyperelliptic Jacobians. Zbl 1186.14031Zarhin, Yuri G. 6 2010 Centers of Hodge groups of superelliptic Jacobians. Zbl 1198.14030Xue, Jiangwei; Zarhin, Yuri G. 3 2010 Hodge groups of certain superelliptic Jacobians. Zbl 1226.14042Xue, Jiangwei; Zarhin, Yuri G. 2 2010 Ranks of Jacobians in towers of function fields. Zbl 1256.14024Ulmer, Douglas; Zarhin, Yuri G. 2 2010 Endomorphism algebras of hyperelliptic Jacobians and finite projective lines. II. Zbl 1198.14027Elkin, Arsen; Zarhin, Yuri G. 2 2010 Points of small order on three-dimensional abelian varieties; with an appendix by Yuri Zarhin. Zbl 1198.14041Cullinan, John 2 2010 Endomorphisms of superelliptic Jacobians. Zbl 1166.14022Zarhin, Yuri G. 8 2009 Ordinary reduction of K3 surfaces. Zbl 1178.14039Bogomolov, Fedor A.; Zarhin, Yuri G. 8 2009 Cubic surfaces and cubic threefolds, Jacobians and intermediate Jacobians. Zbl 1203.14045Zarhin, Yuri 3 2009 Hyperelliptic Jacobians and Steinberg representations. Zbl 1214.14027Zarhin, Yuri G. 1 2009 Absolutely simple prymians of trigonal curves. Zbl 1312.14102Zarhin, Yu. G. 1 2009 A finiteness theorem for the Brauer group of abelian varieties and K3 surfaces. Zbl 1157.14008Skorobogatov, Alexei N.; Zarhin, Yuri G. 31 2008 Del Pezzo surfaces of degree 1 and Jacobians. Zbl 1222.14084Zarhin, Yu. G. 6 2008 Homomorphisms of abelian varieties over finite fields. Zbl 1183.14035Zarhin, Yuri G. 3 2008 Isogeny classes of abelian varieties over function fields. Zbl 1145.14034Zarhin, Yuri G. 1 2008 Superelliptic Jacobians. Zbl 1152.14029Zarhin, Yuri G. 5 2007 Abelian varieties without homotheties. Zbl 1128.11031Zarhin, Yuri G. 3 2007 Endomorphism algebras of hyperelliptic Jacobians and finite projective lines. Zbl 1115.14024Elkin, Arsen; Zarhin, Yuri G. 4 2006 Non-isogenous superelliptic Jacobians. Zbl 1102.14020Zarhin, Yuri G. 3 2006 Finite linear groups, lattices, and products of elliptic curves. Zbl 1111.14041Popov, Vladimir L.; Zarhin, Yuri G. 2 2006 Del Pezzo surfaces of degree 2 and Jacobians without complex multiplication. Zbl 1152.14303Zarhin, Yu. G. 1 2006 Endomorphism algebras of superelliptic Jacobians. Zbl 1086.11026Zarhin, Yuri G. 10 2005 Homomorphisms of abelian varieties. Zbl 1095.14041Zarhin, Yuri G. 9 2005 Very simple representations: variations on a theme of Clifford. Zbl 1129.20006Zarhin, Yuri G. 4 2005 Inertia groups and abelian surfaces. Zbl 1077.11047Silverberg, A.; Zarhin, Yu. G. 2 2005 The endomorphism rings of jacobians of cyclic covers of the projective line. Zbl 1058.14064Zarhin, Yuri G. 10 2004 Non-supersingular hyperelliptic Jacobians. Zbl 1079.14038Zarhin, Yuri G. 6 2004 Hyperelliptic Jacobians and simple groups \(U_3(2^m)\). Zbl 1001.14012Zarhin, Yuri G. 2 2003 Homomorphisms of hyperelliptic Jacobians. Zbl 1077.14041Zarkhin, Yu. G. 1 2003 Very simple 2-adic representations and hyperelliptic Jacobians. Zbl 1082.11039Zarhin, Yuri G. 11 2002 Cyclic covers of the projective line, their jacobians and endomorphisms. Zbl 0988.14015Zarhin, Yuri G. 5 2002 Endomorphism rings of certain Jacobians in finite characteristic. Zbl 1044.11051Zarkhin, Yu. G. 3 2002 Hyperelliptic Jacobians without complex multiplication, doubly transitive permutation groups and projective representations. Zbl 1079.14513Zarhin, Yuri G. 2 2002 Polarizations on abelian varieties. Zbl 1011.14011Silverberg, A.; Zarhin, Yu. G. 1 2002 Hyperelliptic Jacobians and modular representations. Zbl 1047.14015Zarhin, Yuri G. 9 2001 Hyperelliptic Jacobians without complex multiplication in positive characteristic. Zbl 1079.14512Zarhin, Yuri G. 7 2001 Polarizations on abelian varieties and self-dual \(l\)-adic representations of inertia groups. Zbl 1015.14021Silverberg, A.; Zarhin, Yu. G. 2 2001 Symplectic representations of inertia groups. Zbl 1125.20311Silverberg, A.; Zarhin, Yu. G. 1 2001 Étale cohomology and reduction of abelian varieties. Zbl 1037.11042Silverberg, A.; Zarhin, Yu. G. 1 2001 Hyperelliptic Jacobians without complex multiplication. Zbl 0959.14013Zarhin, Yuri G. 21 2000 Reduction of abelian varieties. Zbl 1029.14014Silverberg, A.; Zarhin, Yu. G. 2 2000 Hodge classes on abelian varieties of low dimension. Zbl 0947.14005Moonen, B. J. J.; Zarhin, Yu. G. 18 1999 Torsion of abelian varieties, Weil classes and cyclotomic extensions. Zbl 0958.11047Zarhin, Yuri G. 4 1999 Subgroups of inertia groups arising from Abelian varieties. Zbl 0966.14029Silverberg, A.; Zarhin, Yu. G. 4 1998 Weil classes on abelian varieties. Zbl 0887.14004Moonen, B. J. J.; Zarhin, Yu. G. 4 1998 Semistable reduction of abelian varieties over extensions of small degree. Zbl 0938.11029Silverberg, A.; Zarhin, Yu. G. 2 1998 Connectedness extensions for abelian varieties. Zbl 0938.14028Silverberg, A.; Zarhin, Yu. G. 1 1998 Variations on a theme of Minkowski and Serre. Zbl 0885.14006Silverberg, A.; Zarhin, Yu. G. 7 1996 \(p\)-adic abelian integrals and commutative Lie groups. Zbl 0884.14020Zarhin, Yu. G. 5 1996 Abelian subvarieties. Zbl 0861.14037Lenstra, Hendrik W. jun.; Oort, Frans; Zarhin, Yuri G. 5 1996 The Tate conjecture for powers of ordinary K3 surfaces over finite fields. Zbl 0863.14004Zarhin, Yuri G. 4 1996 Complex tori. Zbl 0879.14023Oort, Frans; Zarhin, Yuri G. 1 1996 Semistable reduction and torsion subgroups of abelian varieties. Zbl 0818.14017Silverberg, Alice; Zarkhin, Yuri G. 11 1995 Hodge classes and Tate classes on simple abelian fourfolds. Zbl 0874.14034Moonen, B. J. J.; Zarhin, Yu. G. 11 1995 CM abelian varieties with almost ordinary reduction. Zbl 0843.14018Zarhin, Yuri G. 3 1995 Connectedness results for \(\ell\)-adic representations associated to abelian varieties. Zbl 1044.11586Silverberg, A.; Zarhin, Yu. G. 3 1995 Endomorphism algebras of complex tori. Zbl 0858.14024Oort, Frans; Zarhin, Yuri 3 1995 Local heights and Néron pairings. Zbl 0879.14008Zarhin, Yu. G. 2 1995 The Tate conjecture for non-simple abelian varieties over finite fields. Zbl 0831.14019Zarhin, Yu. G. 3 1994 The Tate conjecture for almost ordinary abelian varieties over finite fields. Zbl 0817.14022Lenstra, Hendrik jun.; Zarhin, Yuri G. 7 1993 Isogenies of abelian varieties. Zbl 0832.14034Silverberg, A.; Zarhin, Yu. G. 5 1993 Abelian varieties of \(K3\) type. Zbl 0827.14031Zarhin, Yuri G. 5 1993 Transcendental cycles on ordinary K3 surfaces over finite fields. Zbl 0819.14005Zarkhin, Yuri G. 4 1993 Abelian varieties having a reduction of \(K\)3 type. Zbl 0774.14039Zarkhin, Yuri G. 6 1992 Abelian varieties of K3 type and \(l\)-adic representations. Zbl 0788.14039Zarkhin, Yuri G. 4 1991 Linear irreducible Lie algebras and Hogde structures. Zbl 0764.17006Zarkhin, Yuri G. 1 1991 Actions of semisimple Lie groups and orbits of Cartan subgroups. Zbl 0742.57024Zarhin, Yu. G. 1 1991 Torsion and endomorphisms of abelian varieties over infinite extensions of number fields. Zbl 0769.14015Zarkhin, Yu. G. 1 1991 Algebraic cycles over cubic fourfolds. Zbl 0742.14036Zarkhin, Yuri G. 4 1990 Abelian varieties and Lie algebras. Zbl 0786.14029Zarkhin, Yu. G. 1 1990 Torsion of abelian varieties over GL(2)-extensions of number fields. Zbl 0661.14032Zarkhin, Yuri 1 1989 Endomorphisms and torsion of Abelian varieties. Zbl 0632.14035Zarkhin, Yu. G. 11 1987 ...and 27 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 341 Authors 60 Zarkhin, Yuriĭ Gennad’evich 10 Silverberg, Alice 8 Yu, Chia-Fu 7 Skorobogatov, Alexei Nikolaïevitch 6 Gordeev, Nikolai L. 6 Popov, Vladimir Leonidovich 6 Tamagawa, Akio 6 Tankeev, Sergeĭ Gennad’evich 6 Várilly-Alvarado, Anthony 6 Xue, Jiangwei 5 Achter, Jeffrey D. 5 Cadoret, Anna 5 Creutz, Brendan 5 Kunyavskiĭ, Boris Èmmanuilovich 5 Mundet i Riera, Ignasi 5 Prokhorov, Yuriĭ Gennad’evich 5 Shaska, Tanush 4 Bekker, Boris Mikhaĭlovich 4 Elsenhans, Andreas-Stephan 4 Gajda, Wojciech 4 Hassett, Brendan 4 Ito, Kazuhiro 4 Moonen, Ben 4 Pries, Rachel J. 4 Shramov, Konstantin Aleksandrovich 4 Silverman, Joseph Hillel 4 Viray, Bianca 4 Yui, Noriko 3 Banaszak, Grzegorz 3 Bandman, Tatiana M. 3 Clark, Peter Louis 3 Gonzalez-Avilés, Cristian D. 3 Jahnel, Jörg 3 Katz, Nicholas Michael 3 Laza, Radu 3 Lombardo, Davide M. 3 Oort, Frans 3 Orr, Martin 3 Pink, Richard 3 Ratazzi, Nicolas 3 Tschinkel, Yuri 3 Ulmer, Douglas L. 2 Abdulali, Salman 2 Ancona, Giuseppe 2 Arias-de-Reyna, Sara 2 Baldi, Gregorio 2 Bisatt, Matthew 2 Bogomolov, Fedor Alekseivich 2 Bright, Martin 2 Coleman, Robert Frederick 2 Colliot-Thélène, Jean-Louis 2 Cullinan, John 2 David, Sinnou 2 Davis, Rachel 2 de Fernex, Tommaso 2 de Wet, J. A. 2 Fisher, Tom A. 2 Fité, Francesc 2 Friedman, Robert M. 2 Gnutov, F. A. 2 Gorchinskiĭ, Sergeĭ Olegovich 2 Hazama, Fumio 2 Howe, Everett W. 2 Hui, Chun Yin 2 Huybrechts, Daniel 2 Ieronymou, Evis 2 Kahn, Bruno 2 Krasoń, Piotr 2 Kresch, Andrew 2 Larsen, Michael Jeffrey 2 Li, Anly 2 Liedtke, Christian 2 Lorenzini, Dino J. 2 Makarova, Ol’ga Vladimirovna 2 Milne, James Stuart 2 Nakahara, Masahiro 2 Nikol’skaya, O. V. 2 Osipov, Denis Vasil’evich 2 Otake, Shuichi 2 Pannekoek, René 2 Patrikis, Stefan T. 2 Petersen, Sebastian 2 Plotkin, Eugene 2 Poonen, Bjorn 2 Schoen, Chad 2 Sharif, Shahed 2 Sutherland, Andrew V. 2 Takagi, Shunsuke 2 Tan, Ki-Seng 2 Vial, Charles 2 Voloch, José Felipe 2 Wickelgren, Kirsten G. 2 Zhu, Hui June 2 Zywina, David 1 André, Yves 1 Anni, Samuele 1 Arapura, Donu 1 Arteche, Giancarlo Lucchini 1 Asif, Sualeh 1 Auffarth, Robert Frederick II ...and 241 more Authors all top 5 Cited in 109 Serials 23 Journal of Number Theory 19 Mathematische Annalen 15 Compositio Mathematica 15 Duke Mathematical Journal 14 Journal of Algebra 12 Transactions of the American Mathematical Society 10 European Journal of Mathematics 9 Journal of Pure and Applied Algebra 8 Advances in Mathematics 8 Inventiones Mathematicae 8 Izvestiya: Mathematics 7 Mathematical Notes 7 Proceedings of the American Mathematical Society 7 Annals of Mathematics. Second Series 7 Research in Number Theory 6 Mathematics of Computation 6 Journal für die Reine und Angewandte Mathematik 6 Manuscripta Mathematica 6 Transformation Groups 6 International Journal of Number Theory 5 Annales de l’Institut Fourier 5 Mathematische Zeitschrift 5 Michigan Mathematical Journal 5 Journal of Mathematical Sciences (New York) 5 Journal of the Institute of Mathematics of Jussieu 4 Israel Journal of Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Tohoku Mathematical Journal. Second Series 4 International Journal of Mathematics 4 Journal de Théorie des Nombres de Bordeaux 4 Documenta Mathematica 4 Proceedings of the Steklov Institute of Mathematics 4 Forum of Mathematics, Sigma 3 Russian Mathematical Surveys 3 Acta Arithmetica 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Archiv der Mathematik 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 LMS Journal of Computation and Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Publications Mathématiques 2 Journal of the London Mathematical Society. Second Series 2 Memoirs of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 L’Enseignement Mathématique. 2e Série 2 Bulletin of the American Mathematical Society. New Series 2 St. Petersburg Mathematical Journal 2 Selecta Mathematica. New Series 2 The Ramanujan Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Dynamical Systems and Geometric Theories 2 Central European Journal of Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Commentarii Mathematici Helvetici 1 Functiones et Approximatio. Commentarii Mathematici 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Le Matematiche 1 Mathematische Nachrichten 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Ergodic Theory and Dynamical Systems 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Physica D 1 \(K\)-Theory 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Sugaku Expositions 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 International Journal of Algebra and Computation 1 Designs, Codes and Cryptography 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Advances in Applied Clifford Algebras 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 European Mathematical Society Newsletter 1 Doklady Mathematics 1 Journal of Group Theory 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Advances in Geometry 1 Milan Journal of Mathematics 1 Journal of Algebra and its Applications 1 Cubo ...and 9 more Serials all top 5 Cited in 31 Fields 298 Algebraic geometry (14-XX) 206 Number theory (11-XX) 29 Group theory and generalizations (20-XX) 13 Several complex variables and analytic spaces (32-XX) 10 Field theory and polynomials (12-XX) 8 Associative rings and algebras (16-XX) 8 Nonassociative rings and algebras (17-XX) 7 Commutative algebra (13-XX) 7 Differential geometry (53-XX) 7 Manifolds and cell complexes (57-XX) 6 \(K\)-theory (19-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 General topology (54-XX) 2 Combinatorics (05-XX) 2 Category theory; homological algebra (18-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-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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