Automorphisms of Finite Order on Rational Surfaces
Automorphisms of Finite Order on Rational Surfaces
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有理曲面上有限阶自同构
DOI：
10.1515/9783110198072
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
De
中科院分区：
文献类型：
--
作者：
De
给出了光滑有理射影曲面X的极小偶(X，G)和X上自同构群G的分类，确定了X的固定轨迹X^G和商曲面Y=X/G以及Y的光滑部分的基本群，并给出了每一对的实现.使用了Mori的极值射线理论以及Alexeev和Ambro关于良好反正则因子存在的最新结果。
We classify minimal pairs (X, G) for smooth rational projective surface X and finite group G of automorphisms on X. We also determine the fixed locus X^G and the quotient surface Y = X/G as well as the fundamental group of the smooth part of Y. The realization of each pair is included. Mori's extremal ray theory and recent results of Alexeev and also Ambro on the existence of good anti-canonical divisors are used.