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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：基础数学
联系方式：ximinliu@dlut.edu.cn
电子邮箱：ximinliu@dlut.edu.cn
Nonsmoothable group actions on elliptic surfaces
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论文类型：期刊论文
发表时间：2008-04-15
发表刊物：TOPOLOGY AND ITS APPLICATIONS
收录刊物：SCIE
卷号：155
期号：9
页面范围：946-964
ISSN号：0166-8641
关键字：group actions; locally linear; elliptic surface; Seiberg-Witten invariants
摘要：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.