34 citations · 127 across the 13 of their papers we have counts for
13 papers
Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with the symplectic automorphism group (C_2)^2
Viacheslav V. Nikulin
Var3: In our papers 2013--2018 we classified degenerations and Picard lattices of Kahlerian K3 surfaces with finite symplectic automorphism groups of high order. For remaining grou…
Classification of Picard lattices of K3 surfaces
Viacheslav V. Nikulin
Using results of our papers [19], [20] and [21] about classification of degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, we classify Picard lattic…
Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. III
Viacheslav V. Nikulin
Similarly to our papers I and II on the subject (see arXiv:1403.6061 and arXiv:1504.00326), we classify degenerations of codimension 2 and higher of Kahlerian K3 surfaces with fini…
Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections
Valery Gritsenko, Viacheslav V. Nikulin
We describe a new large class of Lorentzian Kac--Moody algebras. For all ranks, we classify 2-reflective hyperbolic lattices S with the group of 2-reflections of finite volume and…
Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, II
Viacheslav V. Nikulin
We prove the main Conjecture 4 of our paper arXiv:1403.6061v5, which leads to classification of degenerations of codimension one of Kahlerian K3 surfaces with finite symplectic aut…
Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups
Viacheslav V. Nikulin
Using results of our preprint "Kahlerian K3 surfaces and Niemeier lattices" arXiv:1109.2879 (and the corresponding papers), we classify degenerations of Kahlerian K3 surfaces with…
Kahlerian K3 surfaces and Niemeier lattices
Viacheslav V. Nikulin
Using results (especially see Remark 1.14.7) of our paper "Integral symmetric bilinear forms and some of their applications", 1979, we clarify relation between Kahlerian K3 surface…
On ground fields of arithmetic hyperbolic reflection groups. III
Viacheslav V. Nikulin
This paper continues arXiv.org:math.AG/0609256, arXiv:0708.3991 and arXiv:0710.0162 . Using authors's methods of 1980, 1981, some explicit finite sets of number fields containing a…
On ground fields of arithmetic hyperbolic reflection groups. II
Viacheslav V. Nikulin
This paper continues arXiv.org:math.AG/0609256 and arXiv:0708.3991 Using authors's methods of 1980, 1981, some explicit finite sets of number fields containing all ground fields of…
On ground fields of arithmetic hyperbolic reflection groups
Viacheslav V. Nikulin
Using authors's methods of 1980, 1981, some explicit finite sets of number fields containing ground fields of arithmetic hyperbolic reflection groups are defined, and good bounds o…
Real K3 surfaces with non-symplectic involution and applications. II
Viacheslav V. Nikulin, Sachiko Saito
We consider real forms of relatively minimal rational surfaces F_m. Connected components of moduli of real non-singular curves in |-2K_{F_m}| had been classified recently for m=0,…
Real K3 Surfaces with non-symplectic Involutions and Applications
Viacheslav V. Nikulin, Sachiko Saito
Classification of real K3 surfaces X with a non-symplectic involution τis considered. For some exactly defined and one of the weakest possible type of degeneration (giving the very…
A lecture on Arithmetic Mirror Symmetry and Calabi-Yau manifolds
Valeri A. Gritsenko, Viacheslav V. Nikulin
We extend our variant of mirror symmetry for K3 surfaces \cite{GN3} and clarify its relation with mirror symmetry for Calabi-Yau manifolds. We introduce two classes (for the models…