与群作用相关的精彩爆炸
Wonderful blowups associated to group actions
摘要：
光滑簇上的群作用通过任意子群的不动点集的不可约分量使其具有自然分层性。我们证明了相应的MacPherson-Procesi意义下的极大奇异爆破只有阿贝尔稳定子。这个结果受到Batyrev的阿贝尔化算法的启发。
英文摘要：
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.
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。
