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Homologically trivial group actions on elliptic surfaces

Yulai Wu

School of Science, Hainan University, Haikou 570228, P. R. China

E-mail Address: wuyl@hainanu.edu.cn

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and

Ximin Liu

School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China

E-mail Address: ximinliu@dlut.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0218216520420092Cited by:0 (Source: Crossref)

This article is part of the issue:

Special Issue: Proceedings of 6th Russian — Chinese Conference on Knot Theory and Related Topics (Part 1)
Guest Editors: N. Abrosimov, Z. Cheng, L. H. Kauffman, A. Vesnin and Z. Yang

Abstract

In this paper, we study the minimal symplectic elliptic surfaces $E (k)$ with homologically trivial symplectic finite group actions, and get a rigidity theorem under some restriction.

Keywords:

AMSC: 57R57, 57M60, 57R15

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