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Indexed by:期刊论文

Date of Publication:2008-04-15

Journal:TOPOLOGY AND ITS APPLICATIONS

Included Journals:SCIE

Volume:155

Issue:9

Page Number:946-964

ISSN No.: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.