Actions of linear algebraic groups of exceptional type on projective varieties
Actions of linear algebraic groups of exceptional type on projective varieties
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DOI：
10.2140/pjm.2009.239.391
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发表时间：
2009-02
影响因子：
0.6
通讯作者：
Kiwamu Watanabe
中科院分区：
文献类型：
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作者：
Kiwamu Watanabe
设X是n维光滑射影簇，G是正则非平凡作用在X上的例外型单线性代数群。则已知n有一个下界rG，它只依赖于G的Dynkin型.本文在n = rG + 1的情形下，给出了X具有作用G的分类.
Let X be a smooth projective variety of dimension n and G a simple linear algebraic group of exceptional type acting regularly and nontrivially on X. Then it is known that n has a lower bound rG which only depends on the Dynkin type of G. In this article we give a classification of X with an action of G in the case where n = rG + 1.