Classification of degenerations and Picard lattices of Kählerian K3 surfaces with symplectic automorphism group-Reference-Cited by-同舟云学术

Classification of degenerations and Picard lattices of Kählerian K3 surfaces with symplectic automorphism group

Published:2019-12-01 Issue:6 Volume:83 Page:1201-1233
ISSN:1064-5632
Container-title:Izvestiya: Mathematics
language:
Short-container-title:Izv. Math.

Author:

Nikulin V. V.

Abstract

Abstract In [1]–[6] we classified the degenerations and Picard lattices of Kählerian K3 surfaces with finite symplectic automorphism groups of high order. This classification was not considered for the remaining groups of small order (

and

) because each of these cases requires very long and difficult considerations and calculations. Here we consider this classification for the dihedral group

of order

Funder

Ministry of Science and Higher Education of the Russian Federation

Publisher

IOP Publishing

Subject

General Mathematics

Link

https://iopscience.iop.org/article/10.1070/IM8868/pdf

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Classification of Degenerations of Codimension $${\le}\,5$$ and Their Picard Lattices for Kählerian K3 Surfaces with the Symplectic Automorphism Group $$(C_2)^2$$;Proceedings of the Steklov Institute of Mathematics;2023-03

2. Classification of Degenerations of Codimension ${\le } 5$ and Their Picard Lattices for Kählerian K3 Surfaces with the Symplectic Automorphism Group $(C_2)^2$;Trudy Matematicheskogo Instituta imeni V.A. Steklova;2023-03

3. Classification of Degenerations and Picard Lattices of Kählerian K3 Surfaces with Symplectic Automorphism Group C4;Proceedings of the Steklov Institute of Mathematics;2019-11