Extensions of maximal symplectic actions on K3 surfaces

Abstract

We classify pairs $(X,G)$ consisting of a complex K3 surface $X$ and a finite group $G\le Aut(X)$ such that the subgroup $G_s⪇G$ consisting of symplectic automorphisms is among the $11$ maximal symplectic ones as classified by Mukai.

arXiv commentSee the ancillary files for matrices representing the 42 actions. v3: Improved presentation

References in corpus (5)

• The 290 fixed-point sublattices of the Leech lattice
• Picard-Fuchs Differential Equations for Families of K3 Surfaces
• Finite groups of automorphisms of Enriques surfaces and the Mathieu group $M_{12}$
• K3 surfaces with maximal finite automorphism groups containing $M\_20$
• Classification of K3-surfaces with involution and maximal symplectic symmetry

Cited by in corpus (1)

• K3 surfaces with maximal finite automorphism groups containing $M\_20$