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Pseudofree -actions on surfaces
Authors:Ximin Liu   Nobuhiro Nakamura
Affiliation:Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China ; Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan
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 cannot be realized as a smooth action on the standard smooth $ K3$ surface.

Keywords:Group actions   locally linear   pseudofree   $K3$ surface   Seiberg-Witten invariants
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