旗形变体、复曲面变体和悬置：无限传递性的三个实例
Flag varieties, toric varieties, and suspensions: three instances of infinite transitivity
摘要：
我们说群G作用在集合X上是无限传递的，如果对任意整数m，G的诱导对角作用在X的k次幂上是传递的。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。第一类由仿射锥旗品种，第二个非退化仿射复曲面品种，第三个迭代暂停仿射品种的无限传递自同构群的加强型。
英文摘要：
We say that a group G acts infinitely transitively on a set X if for every integer m the induced diagonal action of G is transitive on the cartesian mth power of X 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 affine cones over flag varieties, the second of non-degenerate affine toric varieties, and the third of iterated suspensions over affine varieties with infinitely transitive automorphism groups of a reinforced type.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
