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## Nikulin, Vyacheslav Valentinovich

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 Author ID: nikulin.vyacheslav-valentinovich Published as: Nikulin, V. V.; Nikulin, Viacheslav; Nikulin, Viacheslav V.; Nikulin, Vjacheslav V.; Nikulin, Vyacheslav V. Homepage: https://www.liverpool.ac.uk/mathematical-sciences/staff/viacheslav-nikulin/ External Links: MGP · Math-Net.Ru · Wikidata
 Documents Indexed: 89 Publications since 1974, including 5 Books Biographic References: 1 Publication
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#### Co-Authors

 64 single-authored 10 Gritsenko, Valeriĭ Alekseevich 5 Shafarevich, Igor’ Rostislavovich 4 Manin, Yuri Ivanovich 4 Parshin, Alexei N. 4 Prokhorov, Yuriĭ Gennad’evich 3 Bogomolov, Fedor Alekseivich 3 Kulikov, Viktor Stepanovich 3 Madonna, Carlo G. 3 Reid, Miles 3 Shokurov, Vyacheslav Vladimirovich 2 Alekseev, V. A. 2 Cheltsov, Ivan Anatol’evich 2 Orlov, Dmitri O. 2 Pukhlikov, Aleksandr Valentinovich 2 Saito, Sachiko 1 Alexeev, Valery A. 1 Catanese, Fabrizio M. E. 1 Kharlamov, Viatcheslav M. 1 Kostrikin, Alekseĭ Ivanovich 1 Nemirovskiĭ, Stefan Yur’evich 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Ramdorai, Sujatha 1 Teicher, Mina 1 Tikhomirov, Alexander Sergeevich 1 Tyurin, Andreĭ Nikolaevich 1 Zarkhin, Yuriĭ Gennad’evich
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#### Serials

 11 Mathematics of the USSR. Izvestiya 11 Izvestiya: Mathematics 5 Russian Mathematical Surveys 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Proceedings of the London Mathematical Society. Third Series 3 Soviet Mathematics. Doklady 3 International Journal of Mathematics 3 Journal of Mathematical Sciences (New York) 2 Journal of Soviet Mathematics 2 Transactions of the Moscow Mathematical Society 2 Proceedings of the Steklov Institute of Mathematics 1 Communications in Mathematical Physics 1 Mathematical Notes 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 American Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematics of Kyoto University 1 Journal für die Reine und Angewandte Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Mathematics of the USSR, Sbornik 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Matematicheskiĭ Sbornik 1 Mathematical Research Letters 1 Sbornik: Mathematics 1 Moscow Mathematical Journal 1 MSJ Memoirs 1 Universitext
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#### Fields

 68 Algebraic geometry (14-XX) 33 Number theory (11-XX) 22 Geometry (51-XX) 13 Group theory and generalizations (20-XX) 12 Nonassociative rings and algebras (17-XX) 12 Topological groups, Lie groups (22-XX) 12 Several complex variables and analytic spaces (32-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Differential geometry (53-XX) 4 Manifolds and cell complexes (57-XX) 2 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH

79 Publications have been cited 1,019 times in 604 Documents Cited by Year
Integral symmetric bilinear forms and some of their applications. Zbl 0427.10014
Nikulin, V. V.
1980
Integral symmetric bilinear forms and some geometric applications. Zbl 0408.10011
Nikulin, V. V.
1979
Finite automorphism groups of Kählerian surfaces of type K3. Zbl 0433.14024
Nikulin, V. V.
1979
Finite automorphism groups of Kähler K3 surfaces. Zbl 0454.14017
Nikulin, V. V.
1980
Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications. Zbl 0508.10020
Nikulin, V. V.
1983
Automorphic forms and Lorentzian Kac-Moody algebras. II. Zbl 0935.11016
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
1998
Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras. Zbl 0914.11020
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
1997
Igusa modular forms and ‘the simplest’ Lorentzian Kac-Moody algebras. Zbl 0876.17026
Gritsenko, V. A.; Nikulin, V. V.
1996
Del Pezzo and $$K3$$ surfaces. Zbl 1097.14001
Alexeev, Valery; Nikulin, Viacheslav V.
2006
On Kummer surfaces. Zbl 0325.14015
Nikulin, V. V.
1976
On the classification of Lorentzian Kac-Moody algebras. Zbl 1057.17018
Gritsenko, V. A.; Nikulin, V. V.
2002
Automorphic forms and Lorentzian Kac-Moody algebras. I. Zbl 0935.11015
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
1998
Discrete reflection groups in Lobachevsky spaces and algebraic surfaces. Zbl 0671.22006
Nikulin, V. V.
1987
On factor groups of the automorphism groups of hyperbolic forms modulo subgroups generated by 2-reflections. Zbl 0445.10020
Nikulin, V. V.
1979
$$K3$$ surfaces, Lorentzian Kac-Moody algebras and mirror symmetry. Zbl 0871.14031
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
1996
Weil linear systems on singular K3 surfaces. Zbl 0785.14021
Nikulin, Vjacheslav V.
1991
Endliche Automorphismengruppen Kählerscher Flächen vom Typ K3. Zbl 0331.14019
Nikulin, V. V.
1976
Kählerian $$K3$$ surfaces and Niemeier lattices. I. Zbl 1281.14032
Nikulin, V. V.
2013
On a description of the automorphism groups of Enriques surfaces. Zbl 0604.14036
Nikulin, V. V.
1984
An analogue of the Torelli theorem for Kummer surfaces of Jacobians. Zbl 0305.14011
Nikulin, V. V.
1975
On a classical correspondence between $$K3$$ surfaces. Zbl 1076.14046
2003
A remark on algebraic surfaces with polyhedral Mori cone. Zbl 0958.14026
Nikulin, Viacheslav V.
2000
Reflection groups in Lobachevsky spaces and the denominator identity for Lorentzian Kac-Moody algebras. Zbl 0977.17019
Nikulin, V. V.
1996
On rational maps between K3 surfaces. Zbl 0754.14022
Nikulin, V. V.
1991
On correspondences between K3 surfaces. Zbl 0653.14007
Nikulin, V. V.
1987
On the classification of arithmetic groups generated by reflections in Lobachevsky spaces. Zbl 0477.22008
Nikulin, V. V.
1982
On arithmetic groups generated by reflections in Lobachevsky spaces. Zbl 0465.22007
Nikulin, V. V.
1981
Degenerations of Kählerian $$K3$$ surfaces with finite symplectic automorphism groups. Zbl 1348.14097
Nikulin, V. V.
2015
Classification of del Pezzo surfaces with log-terminal singularities of index $$\leq 2$$, and involutions on K3 surfaces. Zbl 0705.14038
Alekseev, V. A.; Nikulin, V. V.
1989
Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001
Nikulin, V. V.; Shafarevich, I. R.
1987
Involutions of integral quadratic forms and their applications to real algebraic geometry. Zbl 0547.10021
Nikulin, V. V.
1984
On factor groups of automorphism groups of hyperbolic forms by subgroups generated by 2-reflections. Algebro-geometric applications. Zbl 0484.10021
Nikulin, V. V.
1981
Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces. Zbl 1131.22009
Nikulin, V. V.
2007
On the classification of hyperbolic root systems of rank three. Zbl 0997.17014
Nikulin, V. V.
2000
The arithmetic mirror symmetry and Calabi-Yau manifolds. Zbl 0962.14028
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
2000
On the Brauer group of real algebraic surfaces. Zbl 0840.14024
Nikulin, Viacheslav V.
1994
Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001
Nikulin, V. V.; Shafarevich, I. R.
1983
An analogue of the Torelli theorem for Kummer surfaces of Jacobians. Zbl 0305.14010
Nikulin, V. V.
1974
Classification of Picard lattices of $$K3$$ surfaces. Zbl 1400.14100
Nikulin, V. V.
2018
Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections. Zbl 1432.17027
Gritsenko, Valery; Nikulin, Viacheslav V.
2018
Kahlerian $$K3$$ surfaces and Niemeier lattices. II. Zbl 1373.14035
Nikulin, Viacheslav V.
2016
On the connected components of moduli of real polarized $$K3$$-surfaces. Zbl 1144.14025
Nikulin, V. V.
2008
On the classification of hyperbolic root systems of rank three. Transl. from the Russian. Zbl 1115.17302
Nikulin, V. V.
2000
A remark on discriminants of moduli of $$K3$$ surfaces as sets of zeros of automorphic forms. Zbl 0883.14018
Nikulin, V. V.
1996
Basis of the diagram method for generalized reflection groups in Lobachevsky spaces and algebraic surfaces with nef anticanonical class. Zbl 0857.51003
Nikulin, Viacheslav V.
1996
Automorphic correction of a Lorentzian Kac-Moody algebra. Zbl 0848.17018
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
1995
Del Pezzo surfaces with log-terminal singularities. I. Zbl 0704.14030
Nikulin, V. V.
1990
Del Pezzo surfaces with log-terminal singularities. Zbl 0674.14024
Nikulin, V. V.
1989
Arithmetische Gruppen in Lobachevskijschen Räumen, die durch Spiegelungen erzeugt sind. Zbl 0441.22008
Nikulin, V. V.
1980
Über Kummersche Flächen. Zbl 0312.14008
Nikulin, V. V.
1975
Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. III. Zbl 1386.14140
Nikulin, Viacheslav V.
2017
Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II. Zbl 1349.14132
Nikulin, Viacheslav V.
2016
The transition constant for arithmetic hyperbolic reflection groups. Zbl 1245.20047
Nikulin, V. V.
2011
Self-correspondences of $$K3$$ surfaces via moduli of sheaves. Zbl 1200.14030
Nikulin, Viacheslav V.
2009
On a classical correspondence between $$K3$$ surfaces. II. Zbl 1156.14318
2005
Real $$K3$$ surfaces with non-symplectic involution and applications. Zbl 1078.14053
Nikulin, Viacheslav; Saito, Sachiko
2005
A theory of Lorentzian Kac-Moody algebras. Zbl 1168.17304
Nikulin, V. V.
2001
$$K3$$ surfaces with interesting groups of automorphisms. Zbl 1029.11033
Nikulin, V. V.
1999
The diagram method for 3-folds and its application to the Kähler cone and Picard number of Calabi-Yau 3-folds. I. – With an appendix by Vyacheslav V. Shokurov: Anticanonical boundedness for curves. Zbl 0957.14030
Nikulin, Viacheslav V.
1996
Del Pezzo surfaces with log-terminal singularities. III. Zbl 0711.14018
Nikulin, V. V.
1990
Classification of del Pezzo surfaces with log-terminal singularities of index $$\leq 2$$, involutions on $$K3$$ surfaces, and reflection groups in Lobachevskii spaces. Zbl 1355.14026
Alekseev, V. A.; Nikulin, V. V.
1988
Surfaces of type K3 with finite group of automorphisms and Picard group of rank three. Zbl 0577.10019
Nikulin, V. V.
1984
On ground fields of arithmetic hyperbolic reflection groups. Zbl 1194.20043
Nikulin, Viacheslav V.
2009
Explicit correspondences of a $$K3$$ surface with itself. Zbl 1162.14025
Madonna, C. G.; Nikulin, V. V.
2008
On correspondences of a $$K3$$ surface with itself. I. Zbl 1130.14030
Nikulin, V. V.
2004
On Brauer groups of real Enriques surfaces. Zbl 0805.14021
Nikulin, V. V.; Sujatha, R.
1993
Del Pezzo surfaces with log-terminal singularities. II. Zbl 0677.14008
Nikulin, V. V.
1989
Classification of degenerations and Picard lattices of Kählerian K3 surfaces with symplectic automorphism group $$D_6$$. Zbl 07148385
Nikulin, Vyacheslav V.
2019
Examples of lattice-polarized $$K3$$ surfaces with automorphic discriminant, and Lorentzian Kac-Moody algebras. Zbl 1402.14042
Gritsenko, Valery; Nikulin, Viacheslav V.
2017
Elliptic fibrations on $$K3$$ surfaces. Zbl 1287.14018
Nikulin, Viacheslav V.
2014
Self-correspondences of $$K3$$ surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups. Zbl 1226.14053
Nikulin, Viacheslav V.
2011
On ground fields of arithmetic hyperbolic reflection groups. III. Zbl 1206.20045
Nikulin, Viacheslav V.
2009
On ground fields of arithmetic hyperbolic reflection groups. II. Zbl 1197.20032
Nikulin, Viacheslav V.
2008
Real $$K3$$ surfaces with non-symplectic involution and applications. II. Zbl 1129.14081
Nikulin, Viacheslav V.; Saito, Sachiko
2007
On correspondences of a $$K3$$ surface with itself. II. Zbl 1120.14028
Nikulin, Viacheslav V.
2007
On algebraic varieties with finite polyhedral Mori cone. Zbl 1069.14018
Nikulin, Viacheslav V.
2004
On the Picard number of Fano 3-folds with terminal singularities. Zbl 0839.14030
Nikulin, Viacheslav V.
1994
Algebraic 3-folds and the diagram method. Zbl 0731.14024
Nikulin, V. V.
1991
Filtrations of 2-elementary forms and involutions of integral symmetric and cosymmetric bilinear forms. Zbl 0585.10014
Nikulin, V. V.
1985
Classification of degenerations and Picard lattices of Kählerian K3 surfaces with symplectic automorphism group $$D_6$$. Zbl 07148385
Nikulin, Vyacheslav V.
2019
Classification of Picard lattices of $$K3$$ surfaces. Zbl 1400.14100
Nikulin, V. V.
2018
Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections. Zbl 1432.17027
Gritsenko, Valery; Nikulin, Viacheslav V.
2018
Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. III. Zbl 1386.14140
Nikulin, Viacheslav V.
2017
Examples of lattice-polarized $$K3$$ surfaces with automorphic discriminant, and Lorentzian Kac-Moody algebras. Zbl 1402.14042
Gritsenko, Valery; Nikulin, Viacheslav V.
2017
Kahlerian $$K3$$ surfaces and Niemeier lattices. II. Zbl 1373.14035
Nikulin, Viacheslav V.
2016
Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II. Zbl 1349.14132
Nikulin, Viacheslav V.
2016
Degenerations of Kählerian $$K3$$ surfaces with finite symplectic automorphism groups. Zbl 1348.14097
Nikulin, V. V.
2015
Elliptic fibrations on $$K3$$ surfaces. Zbl 1287.14018
Nikulin, Viacheslav V.
2014
Kählerian $$K3$$ surfaces and Niemeier lattices. I. Zbl 1281.14032
Nikulin, V. V.
2013
The transition constant for arithmetic hyperbolic reflection groups. Zbl 1245.20047
Nikulin, V. V.
2011
Self-correspondences of $$K3$$ surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups. Zbl 1226.14053
Nikulin, Viacheslav V.
2011
Self-correspondences of $$K3$$ surfaces via moduli of sheaves. Zbl 1200.14030
Nikulin, Viacheslav V.
2009
On ground fields of arithmetic hyperbolic reflection groups. Zbl 1194.20043
Nikulin, Viacheslav V.
2009
On ground fields of arithmetic hyperbolic reflection groups. III. Zbl 1206.20045
Nikulin, Viacheslav V.
2009
On the connected components of moduli of real polarized $$K3$$-surfaces. Zbl 1144.14025
Nikulin, V. V.
2008
Explicit correspondences of a $$K3$$ surface with itself. Zbl 1162.14025
Madonna, C. G.; Nikulin, V. V.
2008
On ground fields of arithmetic hyperbolic reflection groups. II. Zbl 1197.20032
Nikulin, Viacheslav V.
2008
Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces. Zbl 1131.22009
Nikulin, V. V.
2007
Real $$K3$$ surfaces with non-symplectic involution and applications. II. Zbl 1129.14081
Nikulin, Viacheslav V.; Saito, Sachiko
2007
On correspondences of a $$K3$$ surface with itself. II. Zbl 1120.14028
Nikulin, Viacheslav V.
2007
Del Pezzo and $$K3$$ surfaces. Zbl 1097.14001
Alexeev, Valery; Nikulin, Viacheslav V.
2006
On a classical correspondence between $$K3$$ surfaces. II. Zbl 1156.14318
2005
Real $$K3$$ surfaces with non-symplectic involution and applications. Zbl 1078.14053
Nikulin, Viacheslav; Saito, Sachiko
2005
On correspondences of a $$K3$$ surface with itself. I. Zbl 1130.14030
Nikulin, V. V.
2004
On algebraic varieties with finite polyhedral Mori cone. Zbl 1069.14018
Nikulin, Viacheslav V.
2004
On a classical correspondence between $$K3$$ surfaces. Zbl 1076.14046
2003
On the classification of Lorentzian Kac-Moody algebras. Zbl 1057.17018
Gritsenko, V. A.; Nikulin, V. V.
2002
A theory of Lorentzian Kac-Moody algebras. Zbl 1168.17304
Nikulin, V. V.
2001
A remark on algebraic surfaces with polyhedral Mori cone. Zbl 0958.14026
Nikulin, Viacheslav V.
2000
On the classification of hyperbolic root systems of rank three. Zbl 0997.17014
Nikulin, V. V.
2000
The arithmetic mirror symmetry and Calabi-Yau manifolds. Zbl 0962.14028
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
2000
On the classification of hyperbolic root systems of rank three. Transl. from the Russian. Zbl 1115.17302
Nikulin, V. V.
2000
$$K3$$ surfaces with interesting groups of automorphisms. Zbl 1029.11033
Nikulin, V. V.
1999
Automorphic forms and Lorentzian Kac-Moody algebras. II. Zbl 0935.11016
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
1998
Automorphic forms and Lorentzian Kac-Moody algebras. I. Zbl 0935.11015
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
1998
Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras. Zbl 0914.11020
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
1997
Igusa modular forms and ‘the simplest’ Lorentzian Kac-Moody algebras. Zbl 0876.17026
Gritsenko, V. A.; Nikulin, V. V.
1996
$$K3$$ surfaces, Lorentzian Kac-Moody algebras and mirror symmetry. Zbl 0871.14031
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
1996
Reflection groups in Lobachevsky spaces and the denominator identity for Lorentzian Kac-Moody algebras. Zbl 0977.17019
Nikulin, V. V.
1996
A remark on discriminants of moduli of $$K3$$ surfaces as sets of zeros of automorphic forms. Zbl 0883.14018
Nikulin, V. V.
1996
Basis of the diagram method for generalized reflection groups in Lobachevsky spaces and algebraic surfaces with nef anticanonical class. Zbl 0857.51003
Nikulin, Viacheslav V.
1996
The diagram method for 3-folds and its application to the Kähler cone and Picard number of Calabi-Yau 3-folds. I. – With an appendix by Vyacheslav V. Shokurov: Anticanonical boundedness for curves. Zbl 0957.14030
Nikulin, Viacheslav V.
1996
Automorphic correction of a Lorentzian Kac-Moody algebra. Zbl 0848.17018
Gritsenko, Valeri A.; Nikulin, Viacheslav V.
1995
On the Brauer group of real algebraic surfaces. Zbl 0840.14024
Nikulin, Viacheslav V.
1994
On the Picard number of Fano 3-folds with terminal singularities. Zbl 0839.14030
Nikulin, Viacheslav V.
1994
On Brauer groups of real Enriques surfaces. Zbl 0805.14021
Nikulin, V. V.; Sujatha, R.
1993
Weil linear systems on singular K3 surfaces. Zbl 0785.14021
Nikulin, Vjacheslav V.
1991
On rational maps between K3 surfaces. Zbl 0754.14022
Nikulin, V. V.
1991
Algebraic 3-folds and the diagram method. Zbl 0731.14024
Nikulin, V. V.
1991
Del Pezzo surfaces with log-terminal singularities. I. Zbl 0704.14030
Nikulin, V. V.
1990
Del Pezzo surfaces with log-terminal singularities. III. Zbl 0711.14018
Nikulin, V. V.
1990
Classification of del Pezzo surfaces with log-terminal singularities of index $$\leq 2$$, and involutions on K3 surfaces. Zbl 0705.14038
Alekseev, V. A.; Nikulin, V. V.
1989
Del Pezzo surfaces with log-terminal singularities. Zbl 0674.14024
Nikulin, V. V.
1989
Del Pezzo surfaces with log-terminal singularities. II. Zbl 0677.14008
Nikulin, V. V.
1989
Classification of del Pezzo surfaces with log-terminal singularities of index $$\leq 2$$, involutions on $$K3$$ surfaces, and reflection groups in Lobachevskii spaces. Zbl 1355.14026
Alekseev, V. A.; Nikulin, V. V.
1988
Discrete reflection groups in Lobachevsky spaces and algebraic surfaces. Zbl 0671.22006
Nikulin, V. V.
1987
On correspondences between K3 surfaces. Zbl 0653.14007
Nikulin, V. V.
1987
Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001
Nikulin, V. V.; Shafarevich, I. R.
1987
Filtrations of 2-elementary forms and involutions of integral symmetric and cosymmetric bilinear forms. Zbl 0585.10014
Nikulin, V. V.
1985
On a description of the automorphism groups of Enriques surfaces. Zbl 0604.14036
Nikulin, V. V.
1984
Involutions of integral quadratic forms and their applications to real algebraic geometry. Zbl 0547.10021
Nikulin, V. V.
1984
Surfaces of type K3 with finite group of automorphisms and Picard group of rank three. Zbl 0577.10019
Nikulin, V. V.
1984
Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications. Zbl 0508.10020
Nikulin, V. V.
1983
Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001
Nikulin, V. V.; Shafarevich, I. R.
1983
On the classification of arithmetic groups generated by reflections in Lobachevsky spaces. Zbl 0477.22008
Nikulin, V. V.
1982
On arithmetic groups generated by reflections in Lobachevsky spaces. Zbl 0465.22007
Nikulin, V. V.
1981
On factor groups of automorphism groups of hyperbolic forms by subgroups generated by 2-reflections. Algebro-geometric applications. Zbl 0484.10021
Nikulin, V. V.
1981
Integral symmetric bilinear forms and some of their applications. Zbl 0427.10014
Nikulin, V. V.
1980
Finite automorphism groups of Kähler K3 surfaces. Zbl 0454.14017
Nikulin, V. V.
1980
Arithmetische Gruppen in Lobachevskijschen Räumen, die durch Spiegelungen erzeugt sind. Zbl 0441.22008
Nikulin, V. V.
1980
Integral symmetric bilinear forms and some geometric applications. Zbl 0408.10011
Nikulin, V. V.
1979
Finite automorphism groups of Kählerian surfaces of type K3. Zbl 0433.14024
Nikulin, V. V.
1979
On factor groups of the automorphism groups of hyperbolic forms modulo subgroups generated by 2-reflections. Zbl 0445.10020
Nikulin, V. V.
1979
On Kummer surfaces. Zbl 0325.14015
Nikulin, V. V.
1976
Endliche Automorphismengruppen Kählerscher Flächen vom Typ K3. Zbl 0331.14019
Nikulin, V. V.
1976
An analogue of the Torelli theorem for Kummer surfaces of Jacobians. Zbl 0305.14011
Nikulin, V. V.
1975
Über Kummersche Flächen. Zbl 0312.14008
Nikulin, V. V.
1975
An analogue of the Torelli theorem for Kummer surfaces of Jacobians. Zbl 0305.14010
Nikulin, V. V.
1974
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#### Cited by 544 Authors

 17 Kondō, Shigeyuki 15 Gritsenko, Valeriĭ Alekseevich 15 Nikulin, Vyacheslav Valentinovich 15 Shimada, Ichiro 13 Artebani, Michela 13 Garbagnati, Alice 13 Sarti, Alessandra 12 Keum, Jonghae 11 Krasnov, Vyacheslav Alekseevich 10 Degtyarev, Alex 10 Oguiso, Keiji 10 Schütt, Matthias 9 Ma, Shouhei 8 Stellari, Paolo 7 Camere, Chiara 7 Malmendier, Andreas 7 Mongardi, Giovanni 7 Taki, Shingo 6 Braun, Andreas P. 6 Bruinier, Jan Hendrik 6 Doran, Charles F. 6 Govindarajan, Suresh 6 Hulek, Klaus 6 Laface, Antonio 6 Miranda, Rick 6 Ohashi, Hisanori 6 Poor, Cris 6 Scheithauer, Nils R. 6 Wang, Haowu 6 Yuen, David S. 6 Zhang, De-Qi 5 Boissière, Samuel 5 Cheng, Miranda C. N. 5 Clingher, Adrian 5 Dolgachev, Igor’ Vladimirovich 5 Harrison, Sarah M. 5 Katsura, Toshiyuki 5 Kharlamov, Viatcheslav M. 5 Lee, Kyu-Hwan 5 Moore, Gregory Winthrop 5 Morrison, David R. 5 Volpato, Roberto 4 Allcock, Daniel Jonathan 4 Harder, Andrew 4 Harvey, Jeffrey A. 4 Hashimoto, Kenji 4 Huybrechts, Daniel 4 Kim, Henry H. 4 Laza, Radu 4 Macrì, Emanuele 4 Peters, Christiaan Anthonius Maria 4 Shurman, Jerry 4 Urabe, Tohsuke 4 Valandro, Roberto 4 Veniani, Davide Cesare 4 Yang, Jingen 3 Bauer, Thomas 3 Belolipetsky, Mikhail V. 3 Cheltsov, Ivan Anatol’evich 3 Finashin, Sergey Mikhailovich 3 Freitag, Eberhard 3 Hausen, Jürgen 3 Heim, Bernhard Ernst 3 Hosono, Shinobu 3 Itenberg, Ilia V. 3 Ivashchuk, Vladimir D. 3 Kapustka, Michał 3 Klemm, Albrecht 3 Knutsen, Andreas Leopold 3 Kovalev, Alexei G. 3 Krieg, Aloys 3 Krishna, K. Gopala 3 Lecacheux, Odile 3 Lian, Bong H. 3 Markman, Eyal 3 Mase, Makiko 3 Menet, Grégoire 3 Mukai, Shigeru 3 O’Grady, Kieran G. 3 Paquette, Natalie M. 3 Pedrini, Claudio 3 Raum, Martin 3 Sankaran, Gregory Kumar 3 Sen, Ashoke Kumar 3 Shaska, Tanush 3 Sterk, Hans 3 Takemori, Sho 3 Thompson, Alan Matthew 3 van Geemen, Bert 3 Williams, Brandon 3 Yau, Shing-Tung 3 Yoshikawa, Ken-Ichi 3 Zhang, Yichao 3 Zimet, Max 2 Alexeev, Valery A. 2 Alim, Murad 2 Aoki, Hiroki 2 Aspinwall, Paul S. 2 Attwell-Duval, Dylan 2 Barth, Wolf Paul ...and 444 more Authors
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#### Cited in 129 Serials

 32 Journal of High Energy Physics 23 Mathematische Zeitschrift 23 Transactions of the American Mathematical Society 22 Mathematische Annalen 21 Journal of Algebra 21 Manuscripta Mathematica 20 Advances in Mathematics 19 Nuclear Physics. B 18 Compositio Mathematica 15 Inventiones Mathematicae 15 Journal of Number Theory 15 Journal of Algebraic Geometry 14 Journal of Pure and Applied Algebra 13 Duke Mathematical Journal 13 International Journal of Mathematics 12 Mathematical Notes 11 Michigan Mathematical Journal 10 Journal of Geometry and Physics 10 Geometriae Dedicata 9 Communications in Mathematical Physics 9 Nagoya Mathematical Journal 9 Proceedings of the American Mathematical Society 8 Tohoku Mathematical Journal. Second Series 7 Journal of Soviet Mathematics 7 Proceedings of the Japan Academy. Series A 7 Izvestiya: Mathematics 6 Journal of the Mathematical Society of Japan 6 Journal für die Reine und Angewandte Mathematik 6 Bulletin of the American Mathematical Society. New Series 6 Journal of Mathematical Sciences (New York) 5 Communications in Algebra 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Mathematics of Computation 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Annales de l’Institut Fourier 5 European Journal of Mathematics 4 Rocky Mountain Journal of Mathematics 4 Mathematische Nachrichten 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Proceedings of the Steklov Institute of Mathematics 4 Kyoto Journal of Mathematics 4 Annales Mathématiques du Québec 3 Letters in Mathematical Physics 3 Physics Letters. B 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Tokyo Journal of Mathematics 3 Journal of the American Mathematical Society 3 Forum Mathematicum 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Nuclear Physics, B, Proceedings Supplements 3 The Ramanujan Journal 3 Communications in Contemporary Mathematics 3 Gravitation & Cosmology 3 Journal of Physics A: Mathematical and Theoretical 2 General Relativity and Gravitation 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Russian Mathematical Surveys 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Functional Analysis and its Applications 2 Proceedings of the London Mathematical Society. Third Series 2 Rendiconti del Seminario Matematico della Università di Padova 2 Transactions of the Moscow Mathematical Society 2 Revista Matemática Iberoamericana 2 Computational Geometry 2 Experimental Mathematics 2 Taiwanese Journal of Mathematics 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Science China. Mathematics 1 Bulletin of the Australian Mathematical Society 1 Educational Studies in Mathematics 1 Fluid Dynamics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Mathematische Semesterberichte 1 Prikladnaya Matematika i Mekhanika 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Kodai Mathematical Journal 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 European Journal of Combinatorics 1 Combinatorica 1 Annals of Global Analysis and Geometry 1 Discrete & Computational Geometry 1 $$K$$-Theory 1 The Journal of Geometric Analysis 1 Linear Algebra and its Applications ...and 29 more Serials
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#### Cited in 35 Fields

 441 Algebraic geometry (14-XX) 162 Number theory (11-XX) 78 Quantum theory (81-XX) 57 Several complex variables and analytic spaces (32-XX) 41 Differential geometry (53-XX) 40 Nonassociative rings and algebras (17-XX) 38 Group theory and generalizations (20-XX) 34 Relativity and gravitational theory (83-XX) 26 Manifolds and cell complexes (57-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Topological groups, Lie groups (22-XX) 11 Geometry (51-XX) 8 Category theory; homological algebra (18-XX) 5 Convex and discrete geometry (52-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 $$K$$-theory (19-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Numerical analysis (65-XX) 1 Mathematics education (97-XX)