Work

Finite Symplectic Automorphism Groups of K3 Surfaces in Characteristic Seven

Year: 2026

Type: preprint

Abstract: We classify all finite groups of order divisible by $7$ that admit a faithful symplectic action on a K3 surface over an algebraically closed field of characteristic seven, together with the possible heights and Artin invariants. Combined with the known classification of tame actions, this gives the complete list of finite groups admitting such an action in characteristic seven.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.25251

Authors: Wang, Bin, Zheng, Zhiwei

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223012577

Cites: 5

Cited by:

Related to: 10