Smooth torus quotients of Richardson varieties in the Grassmannian

被引：0
|
作者：
Bakshi, Sarjick [1 ]
机构：
[1] Tata Inst Fundamental Res, Mumbai 400005, Maharashtra, India
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年 / 24卷 / 05期
关键词：
GIT; semistable points; Richardson varieties;
D O I：
10.1142/S0219498825501245
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let k and n be positive coprime integers with k < n. Let T denote the subgroup of diagonal matrices in SL(n, C). We study the GIT quotient of Richardson varieties X-w(v) in the Grassmannian Gr(k,n) by T with respect to a T-linearized line bundle L corresponding to the Plucker embedding. We give necessary and sufficient combinatorial conditions for the quotient variety T\\(X-w(v))(T)(ss) (L) to be smooth.
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页数：13
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