Pseudofree ℤ/3-actions on 𝕂3 surfaces

Liu, Ximin; Nakamura, Nobuhiro

doi:10.1090/S0002-9939-06-08507-8

Pseudofree $\mathbb {Z}/3$-actions on $K3$ surfaces
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by Ximin Liu and Nobuhiro Nakamura PDF

Proc. Amer. Math. Soc. 135 (2007), 903-910 Request permission

Abstract:

In this paper, we give a weak classification of locally linear pseudo- free 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.

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