Extensions of maximal symplectic actions on K3 surfaces

2019/10/14 by Brandhorst, Simon, Hashimoto, Kenji
#14J28 #14J50 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1910.05952

Abstract

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

Related

• Finite Groups of Symplectic Automorphisms of Supersingular K3 surfaces in Odd Characteristics
• K3-surfaces with special symmetry
• Finite symplectic automorphism groups of supersingular K3 surfaces
• Symplectic automorphisms and the Picard group of a K3 surface
• Finite groups of symplectic automorphisms of K3 surfaces in positive characteristic