Flag varieties, toric varieties, and suspensions: Three instances of infinite transitivity
Flag varieties, toric varieties, and suspensions: Three instances of infinite transitivity
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旗形变体、复曲面变体和悬浮：无限及物性的三个实例
DOI：
10.4213/sm7876
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
K. Kuyumzhiyan
中科院分区：
文献类型：
--
作者：
I. Arzhantsev;M. Zaidenberg;K. Kuyumzhiyan
我们说一个群作用在一个集合上是无限传递的，如果对每个群的诱导对角作用在去掉对角的情况下是传递的。我们描述了三类仿射代数簇，使得它们的自同构群在它们的光滑轨迹上无限传递。第一类由正常的仿射锥旗品种，第二个非退化仿射环面品种，第三个迭代悬挂仿射品种无限传递自同构群。书目：42种。
We say that a group acts infinitely transitively on a set if for every the induced diagonal action of is transitive on the cartesian th power with the diagonals removed. We describe three classes of affine algebraic varieties such that their automorphism groups act infinitely transitively on their smooth loci. The first class consists of normal affine cones over flag varieties, the second of nondegenerate affine toric varieties, and the third of iterated suspensions over affine varieties with infinitely transitive automorphism groups. Bibliography: 42 titles.