Cyclic group actions on elliptic surfaces E(2n)

Hongxia Li

Abstract


In this paper, we study the action of cyclic group $\mathbf{Z}_3$ on elliptic surfaces $E(2n), (n\geq1)$. For convenience, we  suppose the fixed point set of $\mathbf{Z}_3$ is composed of 2-spheres. We give a classification of this action. At the same time, we obtain the representation induced by $\mathbf{Z}_3$  on the second cohomology of $E(2n)$

 


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Hongxia Li, Cyclic group actions on elliptic surfaces E(2n), Journal of Mathematical and Computational Science, Vol 2, No 6 (2012), 1759-1765

Copyright © 2012 Hongxia Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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