Nonsmoothable group actions on elliptic surfaces |
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| Authors: | Ximin Liu Nobuhiro Nakamura |
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| Institution: | a Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
b Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo, 153-8914, Japan |
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| Abstract: | Let G be a cyclic group of order 3, 5 or 7, and X=E(n) be the relatively minimal elliptic surface with rational base. In this paper, we prove that under certain conditions on n, there exists a locally linear G-action on X which is nonsmoothable with respect to infinitely many smooth structures on X. This extends the main result of X. Liu, N. Nakamura, Pseudofree Z/3-actions on K3 surfaces, Proc. Amer. Math. Soc. 135 (3) (2007) 903-910]. |
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| Keywords: | primary 57S17 secondary 57M60 57R57 57S25 |
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