Schubert varieties, toric varieties, and ladder determinantal varieties

被引：15

作者：

Gonciulea, N

Lakshmibai, V

机构：

[1] Northeastern University, College of Arts and Sciences, Department of Mathematics, Boston

来源：

ANNALES DE L INSTITUT FOURIER | 1997年 / 47卷 / 04期

关键词：

Schubert varieties; toric varieties; ladder determinantal varieties; distributive lattices; singular locus;

D O I：

10.5802/aif.1590

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct certain normal toric varieties (associated to finite distributive lattices) which are degenerations of the Grassmannians. We also determine the singular loci for certain normal toric varieties, namely the ones which are certain ladder determinantal varieties. As a consequence, we prove a refined version of the conjecture of Laksmibai & Sandhya [Criterion for smoothness of Schubert varieties in SL(n)/B, Proc. Ind. Acad. Sci., 100 (1990), 45-52] on the components of the singular locus, for certain Schubert varieties in the flag variety.

引用

页码：1013 / &

页数：53