$GL_n$某些表示的轨道闭包的非对易去奇异化
Noncommutative desingularization of orbit closures for some representations of $GL_n$
摘要：
我们描述了非交换desingularizations的决定簇，决定簇定义的一般对称矩阵的未成年人，和pffavanan品种定义的pfavanans的一般反对称矩阵。对于方阵和对称矩阵的极大子式，给出了一个非交换的临界分解。在此过程中，我们描述了一种方法来计算与关系的任何非交换desingularizations来自异常集合的部分标志品种。
英文摘要：
We describe noncommutative desingularizations of determinantal varieties, determinantal varieties defined by minors of generic symmetric matrices, and pfaffian varieties defined by pfaffians of generic anti-symmetric matrices. For maximal minors of square matrices and symmetric matrices, this gives a non-commutative crepant resolution. Along the way, we describe a method to calculate the quiver with relations for any non-commutative desingularizations coming from exceptional collections over partial flag varieties.
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。
