Classification of K3-surfaces with involution and maximal symplectic symmetry

Abstract

K3-surfaces with antisymplectic involution and compatible symplectic actions of finite groups are considered. In this situation actions of large finite groups of symplectic transformations are shown to arise via double covers of Del Pezzo surfaces. A complete classification of K3-surfaces with maximal symplectic symmetry is obtained.

26 pages; final publication available at http://www.springerlink.com

References in corpus (5)

• Birational involutions of P^2
• Automorphisms of K3 surfaces
• K3-surfaces with special symmetry
• Finite abelian subgroups of the Cremona group of the plane
• Finite symmetry groups in complex geometry

Cited by in corpus (2)

• Order 6 non-symplectic automorphisms of K3 surfaces
• Extensions of maximal symplectic actions on K3 surfaces