Open Algebraic Surfaces with Finite Group Actions |
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| Authors: | M Miyanishi K Masuda |
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| Institution: | 1.Department of Mathematics; Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka 560-0043, Japan miyanisi@math.sci.osaka-u.ac.jp,JP;2.Department of Mathematics; Himeji Institute of Technology, 2167 Shosha, Himeji 671-2201, Japan kayo@sci.himeji-tech.ac.jp,JP |
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| Abstract: | Suppose that a finite group G acts algebraically on a log projective surface (V, Delta) in such a way that Delta is G-stable. Suppose kappa(V - Delta) union SingV) = -infinity We first look for the conditions under which the Mori theory can be applied equivariantly and observe what we obtain from the Mori theory. We then consider the P1-fibrations which are preserved by the actions of G. |
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