78 citations · 295 across the 35 of their papers we have counts for
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Some examples of K3 surfaces with infinite automorphism group which preserves an elliptic pencil
Viacheslav V. Nikulin
We give more details to our examples in [9] of K3 surfaces over C such that they have infinite automorphism group but it preserves some elliptic pencil of the K3
Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac--Moody algebras
Valery Gritsenko, Viacheslav V. Nikulin
Using our results about Lorentzian Kac--Moody algebras and arithmetic mirror symmetry, we give six series of examples of lattice-polarized K3 surfaces with automorphic discriminant…
Elliptic fibrations on K3 surfaces
Viacheslav V. Nikulin
This is mainly a review of my results related to the title. We discuss, how many elliptic fibrations and elliptic fibrations with infinite automorphism group (or the Mordell-Weil g…
Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups
Viacheslav V. Nikulin
An integral hyperbolic lattice is called reflective if its automorphism group is generated by reflections, up to finite index. Since 1981, it is known that their number is essentia…
Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces
Viacheslav V. Nikulin
After results by the author (1980, 1981), and by Vinberg (1981), finiteness of the number of maximal arithmetic reflection groups in Lobachevsky spaces was not known in dimensions…
Correspondences of a K3 surface with itself via moduli of sheaves. I
Viacheslav V. Nikulin
Let be an algebraic K3 surface, a primitive isotropic Mukai vector on and the moduli of sheaves over with . Let be Picard lattice of .…