Nonsmoothable group actions on elliptic surfaces

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.

22 pages

References in corpus (1)

• Pseudofree Z/3-actions on K3 surfaces

Cited by in corpus (1)

• Symmetries and exotic smooth structures on a $K3$ surface