Pseudofree Z/3-actions on K3 surfaces

Abstract

In this paper, we give a weak classification of locally linear pseudofree actions of the cyclic group of order 3 on a $K3$ surface, and prove the existence of such an action which can not be realized as a smooth action on the standard smooth $K3$ surface.

8 pages

References in corpus (1)

• Algebraic surfaces and Seiberg-Witten invariants

Cited by in corpus (6)

• A survey of group actions on 4-manifolds
• Bauer-Furuta invariants under Z_2-actions
• Group actions on 4-manifolds: some recent results and open questions
• Mod p equality theorem for Seiberg-Witten invariants under Z_p-actions
• Mod $p$ vanishing theorem of Seiberg-Witten invariants for 4-manifolds with $Z_p$-actions
• Nonsmoothable group actions on elliptic surfaces