Finite symplectic automorphism groups of supersingular K3 surfaces
Algebraic Geometry
2026-05-04 v2
Abstract
We give a complete classification of finite groups acting symplectically on supersingular K3 surfaces of Artin invariant one. Using work of Dolgachev and Keum, this provides the full classification of tame finite symplectic automorphism groups on any K3 surface, and in particular of all finite symplectic automorphism groups on K3 surfaces in characteristic p>11.
Keywords
Cite
@article{arxiv.2405.06341,
title = {Finite symplectic automorphism groups of supersingular K3 surfaces},
author = {Hisanori Ohashi and Matthias Schütt},
journal= {arXiv preprint arXiv:2405.06341},
year = {2026}
}
Comments
v2: 45 pages, 2 figures; major revision, improving exposition, correcting typos and addressing a gap in the literature needed for Thm 4.4 (now Thm 4.1); main results unchanged