Symplectic Cyclic Actions on Elliptic Surfaces
Received:January 17, 2010  Revised:October 03, 2010
Key Word: symplectic action   fixed-point set   elliptic surface   locally linear.  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.10771023; 10931005).
Author NameAffiliation
Chang Tao XUE School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Xi Min LIU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      Let $X=E(n)$ be the relatively minimal elliptic surface with rational base, where $n\geq 2$. In this paper, several pseudofree, homologically trivial, symplectic cyclic actions by groups whose orders are 2, 3, 5 and 7 on $X$ are studied.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.04.001
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