Wonderful blowups associated to group actions
Wonderful blowups associated to group actions
复制标题
与团体行动相关的精彩爆炸
DOI：
10.1007/s00029-002-8110-6
复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
Paul E. Gunnells
中科院分区：
文献类型：
--
作者：
L. Borisov;Paul E. Gunnells
光滑变量上的群作用使其具有由任意子群的不动点集的不可约分量构成的自然分层。我们证明了相应的MacPherson-Procesi意义上的极大奇异爆破只有阿贝尔稳定子。该结果受到Batyrev的阿贝尔化算法的启发。
A group action on a smooth variety provides it with the natural stratification by irreducible components of the fixed point sets of arbitrary subgroups. We show that the corresponding maximal wonderful blowup in the sense of MacPherson-Procesi has only abelian stabilizers. The result is inspired by the abelianization algorithm of Batyrev.