Torus quotients of Richardson varieties in the Grassmannian

被引：5

作者：

Bakshi, Sarjick ^{[1
]}

Kannan, S. Senthamarai ^{[1
]}

Venkata, Subrahmanyam K. ^{[1
]}

机构：

[1] Chennai Math Inst, Plot H1,SIPCOT IT Pk, Chennai 603103, Tamil Nadu, India

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 02期

关键词：

GIT; projective normality; Richardson varieties; semistable points; HOMOGENEOUS SPACES; DECOMPOSITION;

D O I：

10.1080/00927872.2019.1668005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the GIT quotient of the minimal Schubert variety in the Grassmannian admitting semistable points for the action of maximal torus T, with respect to the T-linearized line bundle and show that this is smooth when When n = 7 and r = 3 we study the GIT quotients of all Richardson varieties in the minimal Schubert variety. This builds on work by Kumar [21], Kannan and Sardar [18], Kannan and Pattanayak [17], and Kannan et al. [16]. It is known that the GIT quotient of is projectively normal. We give a different combinatorial proof.

引用

页码：891 / 914

页数：24

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