Viacheslav V. Nikulin

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All published works

Action	Title	Year	Authors
+	Classification of Degenerations of Codimension ${\le } 5$ and Their Picard Lattices for Kählerian K3 Surfaces with the Symplectic Automorphism Group $(C_2)^2$	2023	Viacheslav V. Nikulin
+	Classification of Degenerations of Codimension $${\le}\,5$$ and Their Picard Lattices for Kählerian K3 Surfaces with the Symplectic Automorphism Group $$(C_2)^2$$	2023	Viacheslav V. Nikulin
+ PDF Chat	Some Examples of K3 Surfaces with Infinite Automorphism Group which Preserves an Elliptic Pencil	2020	Viacheslav V. Nikulin
+	Some examples of K3 surfaces with infinite automorphism group which preserves an elliptic pencil	2020	Viacheslav V. Nikulin
+	Some examples of K3 surfaces with infinite automorphism group which preserves an elliptic pencil	2020	Viacheslav V. Nikulin
+	Классификация вырождений и решеток Пикара кэлеровых K3-поверхностей с симплектической группой автоморфизмов $C_4$	2019	Viacheslav V. Nikulin
+ PDF Chat	Classification of Degenerations and Picard Lattices of Kählerian K3 Surfaces with Symplectic Automorphism Group C4	2019	Viacheslav V. Nikulin
+ PDF Chat	Kählerian K3 surfaces and Niemeier lattices, II	2019	Viacheslav V. Nikulin
+	Классификация вырождений и решеток Пикара кэлеровых К3-поверхностей с симплектической группой автоморфизмов $D_6$	2019	Viacheslav V. Nikulin
+	Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with small finite symplectic automorphism groups	2018	Viacheslav V. Nikulin
+	Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with the symplectic automorphism group (C_2)^2	2018	Viacheslav V. Nikulin
+	Классификация решеток Пикара К3-поверхностей	2018	Viacheslav V. Nikulin
+	Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with the symplectic automorphism group (C_2)^2	2018	Viacheslav V. Nikulin
+ PDF Chat	Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras	2017	Valery Gritsenko Viacheslav V. Nikulin
+ PDF Chat	Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections	2017	Valery Gritsenko Viacheslav V. Nikulin
+	Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac--Moody algebras	2017	Valery Gritsenko Viacheslav V. Nikulin
+	Вырождения кэлеровых K3-поверхностей с конечными симплектическими группами автоморфизмов. III	2017	Viacheslav V. Nikulin Viacheslav V. Nikulin
+	Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac--Moody algebras	2017	Valery Gritsenko Viacheslav V. Nikulin
+ PDF Chat	Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II	2016	Viacheslav V. Nikulin
+ PDF Chat	Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups	2015	Viacheslav V. Nikulin
+ PDF Chat	Elliptic Fibrations on K3 Surfaces	2013	Viacheslav V. Nikulin
+ PDF Chat	Кэлеровы К3-поверхности и решетки Нимейера. I	2013	Viacheslav V. Nikulin Viacheslav V. Nikulin
+	The Diagram Method for 3-folds and its application to the Kähler cone and Picard number of Calabi-Yau 3-folds. I	2012	Viacheslav V. Nikulin
+ PDF Chat	Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups	2011	Viacheslav V. Nikulin
+ PDF Chat	Константа переноса для арифметических гиперболических групп отражений	2011	Viacheslav V. Nikulin Viacheslav V. Nikulin Viacheslav V. Nikulin Viacheslav V. Nikulin
+	Self-Correspondences of K3 Surfaces via Moduli of Sheaves	2009	Viacheslav V. Nikulin
+	The transition constant for arithmetic hyperbolic reflection groups	2009	Viacheslav V. Nikulin
+ PDF Chat	On ground fields of arithmetic hyperbolic reflection groups	2009	Viacheslav V. Nikulin
+ PDF Chat	On ground fields of arithmetic hyperbolic reflection groups. III	2009	Viacheslav V. Nikulin
+ PDF Chat	Василий Алексеевич Исковских (некролог)	2009	Fedor Bogomolov Fedor Bogomolov Виктор Степанович Куликов Виктор Степанович Куликов Юрий Иванович Манин Yurii Ivanovich Manin Viacheslav V. Nikulin Viacheslav V. Nikulin Дмитрий Олегович Орлов Dmitri Olegovich Orlov
+	The transition constant for arithmetic hyperbolic reflection groups	2009	Viacheslav V. Nikulin
+	Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups	2008	Viacheslav V. Nikulin
+ PDF Chat	О компонентах связности модулей вещественных поляризованных K3-поверхностей	2008	Viacheslav V. Nikulin Viacheslav V. Nikulin Viacheslav V. Nikulin Viacheslav V. Nikulin
+ PDF Chat	Явные соответствия K3-поверхности с собой	2008	К Г Мадонна Carlo Madonna Viacheslav V. Nikulin Viacheslav V. Nikulin Viacheslav V. Nikulin Viacheslav V. Nikulin
+	Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups	2008	Viacheslav V. Nikulin
+ PDF Chat	Real K3 surfaces with non-symplectic involution and applications. II	2007	Viacheslav V. Nikulin Sachiko Saito
+ PDF Chat	Конечность числа арифметических групп, порожденных отражениями, в пространствах Лобачевского	2007	Viacheslav V. Nikulin Viacheslav V. Nikulin Viacheslav V. Nikulin Viacheslav V. Nikulin
+	On correspondences of a 𝐾3 surface with itself. II	2007	Viacheslav V. Nikulin
+	On ground fields of arithmetic hyperbolic reflection groups	2007	Viacheslav V. Nikulin
+	On ground fields of arithmetic hyperbolic reflection groups. II	2007	Viacheslav V. Nikulin
+	Correspondences of a K3 surface with itself via moduli of sheaves. I	2006	Viacheslav V. Nikulin
+	Del Pezzo and K3 Surfaces	2006	Valery Alexeev Viacheslav V. Nikulin
+	Chapter 2. General Theory of DPN surfaces and K3 surfaces with non-symplectic involution	2006	Valery Alexeev Viacheslav V. Nikulin
+	Chapter 1. Log del Pezzo surfaces of index $\leq 2$ and Smooth Divisor Theorem	2006	Valery Alexeev Viacheslav V. Nikulin
+	Chapter 4. Classification of log del Pezzo surfaces of index $\leq 2$ and applications	2006	Valery Alexeev Viacheslav V. Nikulin Valery Alexeev Viacheslav V. Nikulin
+	On correspondences of a K3 surface with itself. IV	2006	Carlo Madonna Viacheslav V. Nikulin
+	Correspondences of a K3 surface with itself via moduli of sheaves. I	2006	Viacheslav V. Nikulin
+	On correspondences of a K3 surface with itself. III	2006	Carlo Madonna Viacheslav V. Nikulin
+	Remarks on connected components of moduli of real polarized K3 surfaces	2005	Viacheslav V. Nikulin
+	Real K3 surfaces with non-symplectic involution and applications	2005	Viacheslav V. Nikulin Sachiko Saito
+	Real K3 surfaces with non-symplectic involution and applications. II	2005	Viacheslav V. Nikulin Sachiko Saito
+	Remarks on connected components of moduli of real polarized K3 surfaces	2005	Viacheslav V. Nikulin
+	Classification of log del Pezzo surfaces of index $\le 2$	2004	Valery Alexeev Viacheslav V. Nikulin
+	On algebraic varieties with finite polyhedral Mori cone	2003	Viacheslav V. Nikulin
+	On a classical correspondence between K3 surfaces II	2003	Carlo Madonna Viacheslav V. Nikulin
+ PDF Chat	Андрей Николаевич Тюрин (некролог)	2003	Fedor Bogomolov Fedor Bogomolov Алексей Львович Городенцев A. L. Gorodentsev V. A. Iskovskikh V. A. Iskovskikh Юрий Иванович Манин Yurii Ivanovich Manin Viacheslav V. Nikulin Viacheslav V. Nikulin
+	Real K3 Surfaces with non-symplectic Involutions and Applications	2003	Viacheslav V. Nikulin Sachiko Saito
+	On Correspondences of a K3 Surface with itself I	2003	Viacheslav V. Nikulin
+	On Correspondences of a K3 Surface with itself, II	2003	Viacheslav V. Nikulin
+ PDF Chat	О классификации лоренцевых алгебр Каца - Муди	2002	Валерий Алексеевич Гриценко Валерий Алексеевич Гриценко Валерий Алексеевич Гриценко Валерий Алексеевич Гриценко Viacheslav V. Nikulin Viacheslav V. Nikulin Viacheslav V. Nikulin Viacheslav V. Nikulin
+	On a classical correspondence between K3 surfaces	2002	Carlo Madonna Viacheslav V. Nikulin
+ PDF Chat	The Arithmetic Mirror Symmetry and¶Calabi-Yau Manifolds	2000	Valeri A. Gritsenko Viacheslav V. Nikulin
+	A Lecture about classification of Lorentzian Kac-Moody algebras of the rank three	2000	Valeri A. Gritsenko Viacheslav V. Nikulin
+ PDF Chat	A remark on algebraic surfaces with polyhedral Mori cone	2000	Viacheslav V. Nikulin
+	On the classification of hyperbolic root systems of the rank three. Part III	1999	Viacheslav V. Nikulin
+ PDF Chat	Василий Алексеевич Исковских (к шестидесятилетию со дня рождения)	1999	Α. I. Kostrikin Α. I. Kostrikin Виктор Степанович Куликов Виктор Степанович Куликов Юрий Иванович Манин Yurii Ivanovich Manin Viacheslav V. Nikulin Viacheslav V. Nikulin Алексей Николаевич Паршин Алексей Николаевич Паршин
+	AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART I	1998	Valeri A. Gritsenko Viacheslav V. Nikulin
+ PDF Chat	AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II	1998	Valeri A. Gritsenko Viacheslav V. Nikulin
+	A Theory of Lorentzian Kac-Moody algebras	1998	Viacheslav V. Nikulin
+	A remark on algebraic surfaces with polyhedral Mori cone	1998	Viacheslav V. Nikulin
+	Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras	1997	Valeri A. Gritsenko Viacheslav V. Nikulin
+	K3 surfaces with interesting groups of automorphisms	1997	Viacheslav V. Nikulin
+	On the classification of hyperbolic root systems of the rank three. Part II	1997	Viacheslav V. Nikulin
+	On the classification of hyperbolic root systems of the rank three. Part I	1997	Viacheslav V. Nikulin
+	BASIS OF THE DIAGRAM METHOD FOR GENERALIZED REFLECTION GROUPS IN LOBACHEVSKY SPACES AND ALGEBRAIC SURFACES WITH NEF ANTICANONICAL CLASS	1996	Viacheslav V. Nikulin
+	Automorphic Forms and Lorentzian Kac--Moody Algebras. Part I	1996	Valeri A. Gritsenko Viacheslav V. Nikulin
+ PDF Chat	Модулярные формы Игузы и “самые простые” лоренцевы алгебры Каца - Муди	1996	Валерий Алексеевич Гриценко Валерий Алексеевич Гриценко Viacheslav V. Nikulin Viacheslav V. Nikulin
+ PDF Chat	K3 surfaces, Lorentzian Kac–Moody algebras and Mirror Symmetry	1996	Valeri A. Gritsenko Viacheslav V. Nikulin
+	Automorphic Forms and Lorentzian Kac-Moody Algebras. Part II	1996	Valeri A. Gritsenko Viacheslav V. Nikulin
+	The Remark on Discriminants of K3 Surfaces Moduli as Sets of Zeros of Automorphic Forms	1995	Viacheslav V. Nikulin
+	K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry	1995	Valeri A. Gritsenko Viacheslav V. Nikulin
+	Siegel automorphic form corrections of some Lorentzian Kac--Moody Lie algebras	1995	Valeri A. Gritsenko Viacheslav V. Nikulin
+ PDF Chat	On the Picard number of Fano 3-folds with terminal singularities	1994	Viacheslav V. Nikulin
+	Geometries on the torus, complex numbers and Lobachevsky geometry	1994	Viacheslav V. Nikulin Igor R. Shafarevich
+	A lecture on Kac--Moody Lie algebras of the arithmetic type	1994	Viacheslav V. Nikulin
+	Algebraic Surfaces with Log-Terminal Singularities and nef Anticanonical Class and Reflection Groups in Lobachevsky Spaces. I (Basics of the Diagram Method)	1994	Viacheslav V. Nikulin
+	Diagram Method for 3-Folds and its Application to Kahler Cone and Picard Number of Calabi-Yau 3-Folds, I. with Appendix by Vyacheslav V. Shokurov: "Anticanonical boundedness for curves"	1994	Viacheslav V. Nikulin
+ PDF Chat	On the Brauer Group of Real Algebraic Surfaces	1994	Viacheslav V. Nikulin
+	Forming geometrical intuition; statement of the main problem	1994	Viacheslav V. Nikulin Igor R. Shafarevich
+	Generalisations and applications	1994	Viacheslav V. Nikulin Igor R. Shafarevich
+	On the Picard Number of Fano 3-Folds with Terminal Singularities	1993	Viacheslav V. Nikulin
+	On the Topological Classification of Real Enriques Surfaces. I	1993	Viacheslav V. Nikulin
+	On the Brauer Group of Real Algebraic Surfaces	1993	Viacheslav V. Nikulin
+	Weil Linear Systems on Singular K3 Surfaces	1991	Viacheslav V. Nikulin
+	Geometries and Groups	1987	Viacheslav V. Nikulin Igor R. Shafarevich

Common Coauthors

Coauthor	Papers Together
Valeri A. Gritsenko	10
Igor R. Shafarevich	7
Valery Alexeev	5
Carlo Madonna	5
Valery Gritsenko	4
Sachiko Saito	4
Алексей Николаевич Паршин	3
Yurii Ivanovich Manin	3
Юрий Иванович Манин	3
Юрий Геннадьевич Прохоров	2
V. V. Shokurov	2
Yuri Prokhorov	2
Vyacheslav Vladimirovich Shokurov	2
Miles Reid	2
Dmitri Olegovich Orlov	2
Виктор Степанович Куликов	2
Fedor Bogomolov	2
Майлс Рид	2
Aleksandr V. Pukhlikov	2
Дмитрий Олегович Орлов	2
Валерий Алексеевич Гриценко	2
Александр Сергеевич Тихомиров	1
Andrei Tyurin	1
Α. I. Kostrikin	1
Виктор Я Пидстригач	1
Николай Андреевич Тюрин	1
A. L. Gorodentsev	1
V. A. Iskovskikh	1
Алексей Львович Городенцев	1
V Ya Pidstrigach	1
Андрей Николаевич Тюрин	1
К Г Мадонна	1
Nikolai Andreevich Tyurin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS	1980	Vadim V. Nikulin	42
+	DEGENERATIONS OF<i>K</i>3 SURFACES AND ENRIQUES SURFACES	1977	Виктор Степанович Куликов	27
+	A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPE<i>K</i>3	1971	I. I Pjateckiĭ-Šapiro I. R. Šafarevič	27
+	ON ARITHMETIC GROUPS GENERATED BY REFLECTIONS IN LOBACHEVSKY SPACES	1981	Vyacheslav V Nikulin	24
+ PDF Chat	K3 surfaces, Lorentzian Kac–Moody algebras and Mirror Symmetry	1996	Valeri A. Gritsenko Viacheslav V. Nikulin	17
+	Generalized Kac-Moody algebras	1988	Richard E. Borcherds	17
+	The Moduli space of Enriques surfaces and the fake monster lie superalgebra	1996	Richard E. Borcherds	16
+	A lecture on Kac--Moody Lie algebras of the arithmetic type	1994	Viacheslav V. Nikulin	16
+	ON THE CLASSIFICATION OF ARITHMETIC GROUPS GENERATED BY REFLECTIONS IN LOBACHEVSKY SPACES	1982	Vyacheslav V Nikulin	15
+ PDF Chat	Monstrous moonshine and monstrous Lie superalgebras	1992	Richard E. Borcherds	15
+ PDF Chat	On the Torelli problem for kählerian $K-3$ surfaces	1975	D. Burns Michael Rapoport	15
+	Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras	1997	Valeri A. Gritsenko Viacheslav V. Nikulin	14
+	Applications of the K�hler-Einstein-Calabi-Yau metric to moduli of K3 surfaces	1980	Andrei N. Todorov	14
+ PDF Chat	Infinite-Dimensional Lie Algebras	1990	Victor G. Kač	13
+	INVOLUTIONS OF INTEGRAL QUADRATIC FORMS AND THEIR APPLICATIONS TO REAL ALGEBRAIC GEOMETRY	1984	Vadim V. Nikulin	13
+	A simple proof of the surjectivity of the period map of K3 surfaces	1981	Yum-Tong Siu	13
+ PDF Chat	Igusa modular forms and 'the simplest' Lorentzian Kac-Moody algebras	1996	Valery Gritsenko Vadim V. Nikulin	13
+	The monster Lie algebra	1990	Richard E. Borcherds	13
+ PDF Chat	Finite symplectic actions on the <i>K</i>3 lattice	2012	Kenji Hashimoto	12
+	Finite groups of automorphisms of K3 surfaces and the Mathieur group	1988	Shigeru Mukai	11
+	None	1994	Valeri A. Gritsenko	11
+ PDF Chat	Galois covers between $K3$ surfaces	1996	Gang Xiao	11
+	The Remark on Discriminants of K3 Surfaces Moduli as Sets of Zeros of Automorphic Forms	1995	Viacheslav V. Nikulin	11
+ PDF Chat	Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II	2016	Vadim V. Nikulin	10
+	Automorphic forms onO s +2,2(R) and infinite products	1995	Richard E. Borcherds	10
+	Algebras, BPS states, and strings	1996	Jeffrey A. Harvey Gregory Moore	9
+ PDF Chat	Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups	2015	Vadim V. Nikulin	9
+ PDF Chat	Kählerian K3 surfaces and Niemeier lattices, II	2019	Viacheslav V. Nikulin	9
+	AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART I	1998	Valeri A. Gritsenko Viacheslav V. Nikulin	9
+ PDF Chat	Reflection groups in Lobachevskii spaces and the denominator identity for Lorentzian Kac-Moody algebras	1996	Vadim V. Nikulin	9
+	A Character Formula for Generalized Kac-Moody Superalgebras	1995	Urmie Ray	8
+	Symplectic structure of the moduli space of sheaves on an abelian or K3 surface	1984	Shigeru Mukai	8
+	Cycles, curves and vector bundles on an algebraic surface	1987	Andrei Tyurin	8
+	The Theory of Jacobi Forms	1985	Martin Eichler Don Zagier	8
+	Discrete Reflection Groups in Lobachevsky Spaces and Algebraic Surfaces	2010	Vadim V. Nikulin	8
+ PDF Chat	The Arithmetic Mirror Symmetry and¶Calabi-Yau Manifolds	2000	Valeri A. Gritsenko Viacheslav V. Nikulin	8
+ PDF Chat	String duality and modular forms	1997	Toshiya Kawai	8
+ PDF Chat	Кэлеровы К3-поверхности и решетки Нимейера. I	2013	Viacheslav V. Nikulin Viacheslav V. Nikulin	7
+	ON CORRESPONDENCES BETWEEN K3 SURFACES	1988	Vadim V. Nikulin	7
+	BASIS OF THE DIAGRAM METHOD FOR GENERALIZED REFLECTION GROUPS IN LOBACHEVSKY SPACES AND ALGEBRAIC SURFACES WITH NEF ANTICANONICAL CLASS	1996	Viacheslav V. Nikulin	7
+	On Siegel Modular Forms of Genus Two (II)	1964	Jun-ichi Igusa	7
+	Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of K3 surfaces	1998	Shigeyuki Kondō	7
+	On a classical correspondence between K3 surfaces	2002	Carlo Madonna Viacheslav V. Nikulin	7
+	SYMPLECTIC STRUCTURES ON THE VARIETIES OF MODULI OF VECTOR BUNDLES ON ALGEBRAIC SURFACES WITH<i>p</i><sub><i>g</i></sub>> 0	1989	Andrei Tyurin	7
+	Rational Quadratic Forms	1982	J. W. S. Cassels	7
+ PDF Chat	K3 surfaces with interesting groups of automorphisms	1999	Vadim V. Nikulin	7
+	ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS	1972	É. B. Vinberg	7
+	Infinite-dimensional algebras, Dedekind's η-function, classical möbius function and the very strange formula	1978	Victor G. Kač	6
+ PDF Chat	Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups	2015	Viacheslav V. Nikulin	6
+	On correspondences of a K3 surface with itself. IV	2006	Carlo Madonna Viacheslav V. Nikulin	6