Automorphisms of K3 surfaces

Abstract

In this note, we report some progress we made recently on the automorphisms groups of K3 surfaces. A short and straightforward proof of the impossibility of Z/(60) acting purely non-symplectically on a K3 surface, is also given, by using Lefschetz fixed point formula for vector bundles.

submitted to Proc. Conf. for 10th anniversary of Math. Inst. East China Normal U. Contemporary Math. Amer. Math. Soc

References in corpus (4)

• Tits alternative in hypekähler manifolds
• Non-symplectic involutions of a K3 surface
• K3 surfaces with order 11 automorphisms
• The Alternating Groups and K3 Surfaces

Cited by in corpus (5)

• Order 6 non-symplectic automorphisms of K3 surfaces
• W=0 Complex Structure Moduli Stabilization on CM-type K3 x K3 Orbifolds:---Arithmetic, Geometry and Particle Physics---
• Classification of K3-surfaces with involution and maximal symplectic symmetry
• K3-surfaces with special symmetry: An example of classification by Mori-reduction
• Non-symplectic automorphisms of order 3 on K3 surfaces