Publications
2021
Vyacheslav Vladimirovich Shokurov (on his 70th birthday)
Alexeev, V. A., Birkar, C., Bogomolov, F. A., Zarhin, Y. G., Nikulin, V. V., Orlov, D. O., . . . Cheltsov, I. A. (2021). Vyacheslav Vladimirovich Shokurov (on his 70th birthday). RUSSIAN MATHEMATICAL SURVEYS, 76(3), 553-556. doi:10.1070/RM10002
2020
Some Examples of K3 Surfaces with Infinite Automorphism Group which Preserves an Elliptic Pencil
Nikulin, V. V. (2020). Some Examples of K3 Surfaces with Infinite Automorphism Group which Preserves an Elliptic Pencil. MATHEMATICAL NOTES, 108(3-4), 542-549. doi:10.1134/S0001434620090266
2019
Classification of Degenerations and Picard Lattices of Kahlerian K3 Surfaces with Symplectic Automorphism Group <i>C</i><sub>4</sub>
Nikulin, V. V. (2019). Classification of Degenerations and Picard Lattices of Kahlerian K3 Surfaces with Symplectic Automorphism Group <i>C</i><sub>4</sub>. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 307(1), 130-161. doi:10.1134/S0081543819060087
2018
Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with symplectic automorphism group <i>D</i><sub>6</sub>
Nikulin, V. V. (2019). Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with symplectic automorphism group <i>D</i><sub>6</sub>. IZVESTIYA MATHEMATICS, 83(6), 1201-1233. doi:10.1070/IM8868
2017
Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. III
Nikulin, V. V. (2017). Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. III. IZVESTIYA MATHEMATICS, 81(5), 985-1029. doi:10.1070/IM8629
Classification of Picard lattices of K3 surfaces
Nikulin, V. V. (2018). Classification of Picard lattices of K3 surfaces. IZVESTIYA MATHEMATICS, 82(4), 752-816. doi:10.1070/IM8719
Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac--Moody algebras
Gritsenko, V., & Nikulin, V. V. (2017). Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac--Moody algebras. Trans. Moscow Math. Soc., 78, 75-83. Retrieved from http://arxiv.org/abs/1702.07551v1
2016
Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. III
Nikulin, V. V. (2016). Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. III. Izvestiya: Mathematics, 2017, 81. Retrieved from http://dx.doi.org/10.1070/IM8629
Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections
Gritsenko, V., & Nikulin, V. V. (2018). Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 116, 485-533. doi:10.1112/plms.12084
Kahlerian K3 surfaces and Niemeier lattices, II
Nikulin, V. V. (2016). Kahlerian K3 surfaces and Niemeier lattices, II [Performance]. Retrieved from https://www.webofscience.com/
Kahlerian K3 surfaces and Niemeier lattices, II
Nikulin, V. V. (2016). Kahlerian K3 surfaces and Niemeier lattices, II. In Advanced Studies in Pure Mathematics Vol. 69 (pp. 421-471). Kyoto.
2015
Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. II
Nikulin, V. V. (2016). Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. II. IZVESTIYA MATHEMATICS, 80(2), 359-402. doi:10.1070/IM8455
2014
Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups
Nikulin, V. V. (2015). Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. IZVESTIYA MATHEMATICS, 79(4), 740-794. doi:10.1070/IM2015v079n04ABEH002760
Elliptic Fibrations on K3 Surfaces
Nikulin, V. V. (2014). Elliptic Fibrations on K3 Surfaces. Proceedings of the Edinburgh Mathematical Society, 57(1), 253-267. doi:10.1017/s0013091513000953
ELLIPTIC FIBRATIONS ON K3 SURFACES
Nikulin, V. V. (2014). ELLIPTIC FIBRATIONS ON K3 SURFACES [Performance]. Retrieved from https://www.webofscience.com/
Talk "Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups" 26 September 2014 on Conference "Symmetries of Kahler manifolds, dynamics and moduli spaces"
Nikulin, V. V. (2014). Talk "Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups" 26 September 2014 on Conference "Symmetries of Kahler manifolds, dynamics and moduli spaces" [Public Performance].
Talk "Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups" on conference "Moduli spaces of real and complex varieties" 2-6 June, Angers University
Nikulin, V. V. (2014). Talk "Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups" on conference "Moduli spaces of real and complex varieties" 2-6 June, Angers University [Public Performance].
Talk "Kahlerian K3 surfaces and Niemeier lattices" 4 March 2014 on Conference "Automorphic forms, Lie algebras and Sring theory"
Nikulin, V. V. (2014). Talk "Kahlerian K3 surfaces and Niemeier lattices" 4 March 2014 on Conference "Automorphic forms, Lie algebras and Sring theory" [Public Performance].
2013
Kählerian K3 surfaces and Niemeier lattices. I
Nikulin, V. V. (2013). Kählerian K3 surfaces and Niemeier lattices. I. Izvestiya: Mathematics, 77(5), 954-997. doi:10.1070/im2013v077n05abeh002666
Talk "Elliptic fibrations and automorphism groups of K3 surfaces", 4 June 2013, Conference dedicated to 90th Birthday of I.R. Shafarevich
Nikulin, V. V. (2013). Talk "Elliptic fibrations and automorphism groups of K3 surfaces", 4 June 2013, Conference dedicated to 90th Birthday of I.R. Shafarevich [Public Performance].
Talk "Kahlerian K3 surfaces and Niemeier lattices" 21 June 2013, conference 6th MSJ-SI Development of Moduli Theory (to 60th Birthday of Sh. Mukai)
Nikulin, V. V. (2013). Talk "Kahlerian K3 surfaces and Niemeier lattices" 21 June 2013, conference 6th MSJ-SI Development of Moduli Theory (to 60th Birthday of Sh. Mukai) [Public Performance].
Talk "Kahlerian K3 surfaces and Niemeier lattices", 27 September 2013
Nikulin, V. V. (2013). Talk "Kahlerian K3 surfaces and Niemeier lattices", 27 September 2013 [Public Performance].
Talk "The transition constant for arithmetic hyperbolic reflection groups", 30 October 2013
Nikulin, V. V. (2013). Talk "The transition constant for arithmetic hyperbolic reflection groups", 30 October 2013 [Public Performance].
2012
Algebraic geometry seminar lecture "Self-correspondences of K3 surfaces via moduli of sheaves" at Deparamento de Mathematicas
Nikulin, V. V. (2012). Algebraic geometry seminar lecture "Self-correspondences of K3 surfaces via moduli of sheaves" at Deparamento de Mathematicas [Public Performance].
Colloquium lecture "The transition constant for arithmetic hyperbolic reflection groups" at Departamento de Mathematicas
Nikulin, V. V. (2012). Colloquium lecture "The transition constant for arithmetic hyperbolic reflection groups" at Departamento de Mathematicas [Public Performance].
Del Pezzo and K3 surfaces
Nikulin, V. V. (2012). Del Pezzo and K3 surfaces [Public Performance].
Elliptic fibrations on K3 surfaces
Nikulin, V. V. (2012). Elliptic fibrations on K3 surfaces. arXiv:1010.3904v4 (math.AG), 1-19. Retrieved from http://xxx.lanl.gov/abs/1010.3904
On the classification of arithmetic hyperbolic reflection groups
Nikulin, V. V. (2012). On the classification of arithmetic hyperbolic reflection groups [Public Performance].
Talk "Kahlerian K3 surfaces and Niemeier lattices" at GLEN (Glasgow-Liverpool-Edinburgh-Newcastle) Algebraic Geometry Seminar at 21 November 2012
Nikulin, V. V. (2012). Talk "Kahlerian K3 surfaces and Niemeier lattices" at GLEN (Glasgow-Liverpool-Edinburgh-Newcastle) Algebraic Geometry Seminar at 21 November 2012 [Public Performance].
Talk "Kahlerian K3 surfaces and Niemeier lattices" in Workshop "Algebraic geometry, modular forms and applications to physics" at 29 November 2012
Nikulin, V. V. (2012). Talk "Kahlerian K3 surfaces and Niemeier lattices" in Workshop "Algebraic geometry, modular forms and applications to physics" at 29 November 2012 [Public Performance].
Talk "Kahlerian K3 surfaces and Niemeier lattices" in Workshop dedicated to 60th Birthday of Vic. Kulikov at 5 December 2012
Nikulin, V. V. (2012). Talk "Kahlerian K3 surfaces and Niemeier lattices" in Workshop dedicated to 60th Birthday of Vic. Kulikov at 5 December 2012 [Public Performance].
Talk "The transition constant for arithmetic hyperbolic reflection groups" on conference "Algebra and Geometry" dedicated to 65th birthday of Khovansky at 9 June
Nikulin, V. V. (2012). Talk "The transition constant for arithmetic hyperbolic reflection groups" on conference "Algebra and Geometry" dedicated to 65th birthday of Khovansky at 9 June [Public Performance].
The talk "Kahlerian K3 surfaces and Niemeier lattices" at 3 October 2012
Nikulin, V. V. (2012). The talk "Kahlerian K3 surfaces and Niemeier lattices" at 3 October 2012 [Public Performance].
2011
The transition constant for arithmetic hyperbolic reflection groups
Nikulin, V. V. (2011). The transition constant for arithmetic hyperbolic reflection groups. Izvestiya: Mathematics, 75(5), 971-1005. doi:10.1070/im2011v075n05abeh002561
Kahlerian K3 surfaces and Niemeier lattices
Nikulin, V. V. (2011). Kahlerian K3 surfaces and Niemeier lattices. Part I is published in Izv RAN: Ser Mat., 77:5 (2013), 109-154 (Russian); English Translation in Izvestiya: Mathematics 77:5 (2013), 954-997. Retrieved from http://dx.doi.org/10.1070/IM2013v077n05ABEH002666
Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups
Nikulin, V. V. (2011). Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups. Proceedings of the Steklov Institute of Mathematics, 273(1), 229-237. doi:10.1134/s0081543811040110
Elliptic Fibrations on K3 surfaces
Nikulin, V. V. (2011). Elliptic Fibrations on K3 surfaces [Public Performance].
Elliptic Fibrations on K3 surfaces. Talk on workshop "Arithmetic and geometry of K3 surfaces and Calabi-Yau manifolds" at 20 August
Nikulin, V. V. (2011). Elliptic Fibrations on K3 surfaces. Talk on workshop "Arithmetic and geometry of K3 surfaces and Calabi-Yau manifolds" at 20 August [Public Performance].
On classification of arithmetic hyperbolic reflection groups. Talk on conference "Arithmetic groups vs Mapping Class Groups. Analogies and Differences" at 5 June
Nikulin, V. V. (2011). On classification of arithmetic hyperbolic reflection groups. Talk on conference "Arithmetic groups vs Mapping Class Groups. Analogies and Differences" at 5 June [Public Performance].
The transition constant for arithmetic hyperbolic reflection groups
Nikulin, V. V. (2011). The transition constant for arithmetic hyperbolic reflection groups [Public Performance].
The transition constant for arithmetic hyperbolic reflection groups. Talk on workshop "Automorphic forms and moduli spaces" at 10 October
Nikulin, V. V. (2011). The transition constant for arithmetic hyperbolic reflection groups. Talk on workshop "Automorphic forms and moduli spaces" at 10 October [Public Performance].
2010
Self-Correspondences of K3 Surfaces via Moduli of Sheaves
Nikulin, V. V. (2010). Self-Correspondences of K3 Surfaces via Moduli of Sheaves. In Progress in Mathematics (pp. 439-464). Birkhäuser Boston. doi:10.1007/978-0-8176-4747-6_14
Self-correspondences of K3 surfaces via moduli of sheaves
Nikulin, V. (2010). Self-correspondences of K3 surfaces via moduli of sheaves [Public Performance].
Self-correspondences of K3 surfaces via moduli of sheaves
Nikulin, V. (2010). Self-correspondences of K3 surfaces via moduli of sheaves [Public Performance].
Self-correspondences of K3 surfaces via moduli of sheaves
Nikulin, V. V. (2010). Self-correspondences of K3 surfaces via moduli of sheaves [Public Performance].
The transition constant for arithmetic hyperbolic reflection groups, Talk on Workshop "Birational Geomebry" at 7 December 2010
Nikulin, V. V. (2010). The transition constant for arithmetic hyperbolic reflection groups, Talk on Workshop "Birational Geomebry" at 7 December 2010 [Public Performance].
The transition constant for arithmetic hyperbolic reflection groups, Talk on Workshop "Lattices, reflection groups and algebraic geometry" at 26 November 2010
Nikulin, V. V. (2010). The transition constant for arithmetic hyperbolic reflection groups, Talk on Workshop "Lattices, reflection groups and algebraic geometry" at 26 November 2010 [Public Performance].
2009
The transition constant for arithmetic hyperbolic reflection groups
Nikulin, V. V. (2009). The transition constant for arithmetic hyperbolic reflection groups [Performance]. Retrieved from http://arxiv.org/abs/0910.5217v4
On classification of arithmetic hyperbolic reflection groups
Nikulin, V. V. (2009). On classification of arithmetic hyperbolic reflection groups [Public Performance].
On classification of arithmetic hyperbolic reflection groups
Nikulin, V. V. (2009). On classification of arithmetic hyperbolic reflection groups [Public Performance].
On ground fields of arithmetic hyperbolic reflection groups
Nikulin, V. V. (2009). On ground fields of arithmetic hyperbolic reflection groups. In J. Harnad, P. Winternitz, & AMS (Eds.), Proc. of the conference dedicated to John McKay. CRM. Vol. 47 Vol. 47 (pp. 299-326). Montreal: AMER MATHEMATICAL SOC.
On self-correspondences of K3 surfaces via moduli of sheaves
Nikulin, V. V. (2009). On self-correspondences of K3 surfaces via moduli of sheaves [Public Performance].
The transition constant for arithmetic hyperbolic reflection groups
Nikulin, V. V. (2009). The transition constant for arithmetic hyperbolic reflection groups. arXiv:0910.5217 (math.AG), 1-37. Retrieved from http://xxx.lanl.gov/abs/0910.5217
2008
Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups
Nikulin, V. V. (2008). Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups [Performance]. Retrieved from http://arxiv.org/abs/0810.2945v3
Connected components of moduli of real polarized K3 surfaces
Nikulin, V. V. (2008). Connected components of moduli of real polarized K3 surfaces. Izvestiya: Mathematics, 72(1), 29 pages.
Correspondences of K3 surfaces via moduli of sheaves
Nikulin, V. V. (2008). Correspondences of K3 surfaces via moduli of sheaves [Public Performance].
Explicit correspondences of K3 surfaces
Nikulin, V. V. (2008). Explicit correspondences of K3 surfaces [Public Performance].
Explicit correspondences of a K3 surface with itself
Madonna, C. G., & Nikulin, V. V. (2008). Explicit correspondences of a K3 surface with itself. Izvestiya: Mathematics, 72(3), 89-102.
Finiteness and classification of arithmetic hyperbolic reflection groups
Nikulin, V. V. (2008). Finiteness and classification of arithmetic hyperbolic reflection groups [Public Performance].
New results about enumeration of connected components of moduli of real polarized K3 surfaces
Nikulin, V. V. (2008). New results about enumeration of connected components of moduli of real polarized K3 surfaces [Public Performance].
On classification of arithmetic hyperbolic reflection groups
Nikulin, V. V. (2008). On classification of arithmetic hyperbolic reflection groups [Public Performance].
Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups
Nikulin, V. V. (2008). Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups. arXiv:0810.2945 (math.AG), 1-11.
2007
On ground fields of arithmetic hyperbolic reflection groups. III
Nikulin, V. V. (2007). On ground fields of arithmetic hyperbolic reflection groups. III. J. Lond. Math. Soc., 79(3), 738-756. Retrieved from http://dx.doi.org/10.1112/jlms/jdp003
On ground fields of arithmetic hyperbolic reflection groups. II
Nikulin, V. V. (2007). On ground fields of arithmetic hyperbolic reflection groups. II. Moscow Math. J. 8 (2008), no.4, 789-812. Retrieved from http://arxiv.org/abs/0710.0162v3
On ground fields of arithmetic hyperbolic reflection groups
Nikulin, V. V. (2007). On ground fields of arithmetic hyperbolic reflection groups. CRM Proceedings and Lecture Notes, Vol. 47, (2009), 299 - 326. Retrieved from http://arxiv.org/abs/0708.3991v2
On ground fields of arithmetic hyperbolic reflection groups
Nikulin, V. V. (2007). On ground fields of arithmetic hyperbolic reflection groups. arXiv:0708.3991 (math.AG), 1-33.
On ground fields of arithmetic hyperbolic reflection groups. III
Nikulin, V. V. (2007). On ground fields of arithmetic hyperbolic reflection groups. III. arXiv:0710:2340 (math.AG), 1-14.
Real K3 surfaces with non-symplectic involution and applications. II
Nikulin, V. V., & Saito, S. (2007). Real K3 surfaces with non-symplectic involution and applications. II. Proc. London Math. Soc., 95(1), 29 pages.
2006
Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces
Nikulin, V. V. (2006). Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces. Izv. Ross. Akad. Nauk Ser. Mat. 71 (2007), no. 1, 55-60; translation in Izv. Math. 71 (2007), no. 1, 53-56. Retrieved from http://dx.doi.org/10.1070/IM2007v071n01ABEH002349
Correspondences of a K3 surface with itself via moduli of sheaves. I
Nikulin, V. V. (2006). Correspondences of a K3 surface with itself via moduli of sheaves. I. Algebra, Arithmetic, and Geometry (in honor of Yu.I. Manin), Vol. II, Progress in Mathematics 270, (2009), 439 - 464. Retrieved from http://arxiv.org/abs/math/0609233v1
On correspondences of a K3 surface with itself. IV
Madonna, C. G., & Nikulin, V. V. (2006). On correspondences of a K3 surface with itself. IV. Some results obtained here are part of:: C.G.Madonna and V.V.Nikulin, Explicit correspondences of a K3 surface with itself, Izvestiya: Mathematics 72 (2008), no. 3. Retrieved from http://arxiv.org/abs/math/0606289v2
On correspondences of a K3 surface with itself. III
Madonna, C. G., & Nikulin, V. V. (2006). On correspondences of a K3 surface with itself. III. Some results obtained here are now part of:: C.G.Madonna and V.V.Nikulin, Explicit correspondences of a K3 surface with itself, Izvestiya: Mathematics 72 (2008), no. 3. Retrieved from http://arxiv.org/abs/math/0606239v1
On a classical correspondence between K3 surfaces III
Madonna, C. G., & Nikulin, V. V. (2006). On a classical correspondence between K3 surfaces III. Some results obtained here are now part of:: C.G.Madonna and V.V.Nikulin, Explicit correspondences of a K3 surface with itself, Izvestiya: Mathematics 72 (2008), no. 3. Retrieved from http://arxiv.org/abs/math/0605362v1
Del Pezzo and K3 surfaces
Alexeev, V., & Nikulin, V. V. (2006). Del Pezzo and K3 surfaces (Vol. 15). Tokyo: Mathematical Society of Japan Memoirs. Retrieved from arxiv:math/0406536v6%20[math.AG]
2005
Real K3 surfaces with non-symplectic involution and applications. II
Nikulin, V. V., & Saito, S. (2005). Real K3 surfaces with non-symplectic involution and applications. II. Proc. Lond. Math. Soc., 95(1), 20-48. Retrieved from http://arxiv.org/abs/math/0508478v1
Remarks on connected components of moduli of real polarized K3 surfaces
Nikulin, V. V. (2005). Remarks on connected components of moduli of real polarized K3 surfaces. On connected components of moduli of real polarized K3-surfaces, Izv. Ross. Akad. Nauk Ser. Mat. 72 (2008), no. 1, 99-122 (Russian); translation: Izvestiya:Mathematics (2008), 72 (1), 91-111. Retrieved from http://arxiv.org/abs/math/0507197v1
Real K3 Surfaces with non-symplectic Involutions and Applications
Nikulin, V. V., & Saito, S. (2005). Real K3 Surfaces with non-symplectic Involutions and Applications. Proc. Lond. Math. Soc., 90(3), 591-654. Retrieved from http://arxiv.org/abs/math/0312396v1
Real K3 surfaces with non-symplectic involution and applications
Nikulin, V. V., & Saito, S. (2005). Real K3 surfaces with non-symplectic involution and applications. Proceedings of the London Mathematical Society, 90(03), 591-654. doi:10.1112/s0024611505015212
2004
Classification of log del Pezzo surfaces of index $\le 2$
Alexeev, V., & Nikulin, V. V. (2004). Classification of log del Pezzo surfaces of index $\le 2$. Retrieved from http://arxiv.org/abs/math/0406536v6
2003
On Correspondences of a K3 Surface with itself, II
Nikulin, V. V. (2003). On Correspondences of a K3 Surface with itself, II. In On correspondences of a K3 surface with itself. II. In Algebraic geometry, 121 - 172, Contemp. Math., 422, Amer. Math. Soc., Providence, RI, 2007 (volume dedicated to 60th birthday of Dolgachev). Retrieved from http://arxiv.org/abs/math/0309348v3
On Correspondences of a K3 Surface with itself I
Nikulin, V. V. (2003). On Correspondences of a K3 Surface with itself I. On the correspondences of a K3 surface with itself. I. Tr. Mat. Inst. Steklova 246 (2004), Algebr. Geom. Metody, Svyazi i Prilozh., 217-239; translation in Proc. Steklov Inst. Math. 2004, no. 3 (246), 204-226.. Retrieved from http://arxiv.org/abs/math/0307355v5
On algebraic varieties with finite polyhedral Mori cone
Nikulin, V. V. (2003). On algebraic varieties with finite polyhedral Mori cone. Retrieved from http://arxiv.org/abs/math/0305040v2
On a classical correspondence between K3 surfaces II
Madonna, C., & Nikulin, V. V. (2003). On a classical correspondence between K3 surfaces II. Retrieved from http://arxiv.org/abs/math/0304415v2
2002
On a classical correspondence between K3 surfaces
Madonna, C., & Nikulin, V. V. (2002). On a classical correspondence between K3 surfaces. Retrieved from http://arxiv.org/abs/math/0206158v3
On classification of Lorentzian Kac-Moody algebras
Gritsenko, V. A., & Nikulin, V. V. (2002). On classification of Lorentzian Kac-Moody algebras. Retrieved from http://dx.doi.org/10.1070/RM2002v057n05ABEH000553
2000
A Lecture about classification of Lorentzian Kac-Moody algebras of the rank three
Gritsenko, V. A., & Nikulin, V. V. (2000). A Lecture about classification of Lorentzian Kac-Moody algebras of the rank three. Retrieved from http://arxiv.org/abs/math/0010329v1
1999
On the classification of hyperbolic root systems of the rank three. Part III
Nikulin, V. V. (1999). On the classification of hyperbolic root systems of the rank three. Part III. Retrieved from http://arxiv.org/abs/math/9905150v1
1998
A Theory of Lorentzian Kac-Moody algebras
Nikulin, V. V. (1998). A Theory of Lorentzian Kac-Moody algebras. Retrieved from http://arxiv.org/abs/math/9810001v1
A remark on algebraic surfaces with polyhedral Mori cone
Nikulin, V. V. (1998). A remark on algebraic surfaces with polyhedral Mori cone. Retrieved from http://arxiv.org/abs/math/9806047v3
1997
On the classification of hyperbolic root systems of the rank three. Part II
Nikulin, V. V. (1997). On the classification of hyperbolic root systems of the rank three. Part II. Retrieved from http://arxiv.org/abs/alg-geom/9712033v2
On the classification of hyperbolic root systems of the rank three. Part I
Nikulin, V. V. (1997). On the classification of hyperbolic root systems of the rank three. Part I. Retrieved from http://arxiv.org/abs/alg-geom/9711032v1
K3 surfaces with interesting groups of automorphisms
Nikulin, V. V. (1997). K3 surfaces with interesting groups of automorphisms. Retrieved from http://arxiv.org/abs/alg-geom/9701011v2
1996
A lecture on Arithmetic Mirror Symmetry and Calabi-Yau manifolds
Gritsenko, V. A., & Nikulin, V. V. (1996). A lecture on Arithmetic Mirror Symmetry and Calabi-Yau manifolds. Commun.Math.Phys., 210, 1-11. Retrieved from http://dx.doi.org/10.1007/s002200050769
Automorphic Forms and Lorentzian Kac-Moody Algebras. Part II
Gritsenko, V. A., & Nikulin, V. V. (1996). Automorphic Forms and Lorentzian Kac-Moody Algebras. Part II. Retrieved from http://arxiv.org/abs/alg-geom/9611028v2
Automorphic Forms and Lorentzian Kac--Moody Algebras. Part I
Gritsenko, V. A., & Nikulin, V. V. (1996). Automorphic Forms and Lorentzian Kac--Moody Algebras. Part I. Retrieved from http://arxiv.org/abs/alg-geom/9610022v1
The Igusa modular forms and ``the simplest'' Lorentzian Kac--Moody algebras
Gritsenko, V. A., & Nikulin, V. V. (1996). The Igusa modular forms and ``the simplest'' Lorentzian Kac--Moody algebras. Retrieved from http://dx.doi.org/10.1070/SM1996v187n11ABEH000171
1995
The Remark on Discriminants of K3 Surfaces Moduli as Sets of Zeros of Automorphic Forms
Nikulin, V. V. (1995). The Remark on Discriminants of K3 Surfaces Moduli as Sets of Zeros of Automorphic Forms. Retrieved from http://arxiv.org/abs/alg-geom/9512018v3
K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry
Gritsenko, V. A., & Nikulin, V. V. (1995). K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry. Retrieved from http://arxiv.org/abs/alg-geom/9510008v1
Siegel automorphic form corrections of some Lorentzian Kac--Moody Lie algebras
Gritsenko, V. A., & Nikulin, V. V. (1995). Siegel automorphic form corrections of some Lorentzian Kac--Moody Lie algebras. Retrieved from http://arxiv.org/abs/alg-geom/9504006v3
Reflection groups in hyperbolic spaces and the denominator formula for Lorentzian Kac--Moody Lie algebras
Nikulin, V. V. (1995). Reflection groups in hyperbolic spaces and the denominator formula for Lorentzian Kac--Moody Lie algebras. Retrieved from http://dx.doi.org/10.1070/IM1996v060n02ABEH000072
1994
A lecture on Kac--Moody Lie algebras of the arithmetic type
Nikulin, V. V. (1994). A lecture on Kac--Moody Lie algebras of the arithmetic type. Retrieved from http://arxiv.org/abs/alg-geom/9412003v1
Algebraic Surfaces with Log-Terminal Singularities and nef Anticanonical Class and Reflection Groups in Lobachevsky Spaces. I (Basics of the Diagram Method)
Nikulin, V. V. (1994). Algebraic Surfaces with Log-Terminal Singularities and nef Anticanonical Class and Reflection Groups in Lobachevsky Spaces. I (Basics of the Diagram Method). Retrieved from http://arxiv.org/abs/alg-geom/9405011v1
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"
Nikulin, V. V. (1994). 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". Retrieved from http://arxiv.org/abs/alg-geom/9401010v2
1993
On Brauer Groups of Real Enriques Surfaces
Nikulin, V. V., & Sujatha, R. (1993). On Brauer Groups of Real Enriques Surfaces. Retrieved from http://arxiv.org/abs/alg-geom/9311010v1
On the Brauer Group of Real Algebraic Surfaces
Nikulin, V. V. (1993). On the Brauer Group of Real Algebraic Surfaces. Retrieved from http://arxiv.org/abs/alg-geom/9311011v1
On the Topological Classification of Real Enriques Surfaces. I
Nikulin, V. V. (1993). On the Topological Classification of Real Enriques Surfaces. I. Retrieved from http://arxiv.org/abs/alg-geom/9311012v1
On the Picard Number of Fano 3-Folds with Terminal Singularities
Nikulin, V. V. (1993). On the Picard Number of Fano 3-Folds with Terminal Singularities. Retrieved from http://arxiv.org/abs/alg-geom/9311007v1