Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-04-15

Journal: TOPOLOGY AND ITS APPLICATIONS

Included Journals: SCIE

Volume: 155

Issue: 9

Page Number: 946-964

ISSN: 0166-8641

Key Words: group actions; locally linear; elliptic surface; Seiberg-Witten invariants

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]. (C) 2007 Elsevier B.V. All rights reserved.