Nonsmoothable group actions on elliptic surfaces
Geometric Topology
2013-11-08 v2 Differential Geometry
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 our previous paper.
Cite
@article{arxiv.0712.2505,
title = {Nonsmoothable group actions on elliptic surfaces},
author = {Ximin Liu and Nobuhiro Nakamura},
journal= {arXiv preprint arXiv:0712.2505},
year = {2013}
}
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22 pages