Singular loci of ladder determinantal varieties and schubert varieties (vol 229, pg 463, 2000)

[摘要] We relate certain ladder determinantal varieties (associated to one-sided ladders) to certain Schubert varieties in SL(n)/Q, for a suitable n and a suitable parabolic subgroup 12, and we determine the singular loci of these varieties. We state a conjecture on the irreducible components of the singular locus of a Schubert variety in the flag variety, which is a refinement of the conjecture of Lakshmibai and Sandhya (Proc. Indian Acad. Sci. Math. Sci. 100 (1990), 45-52). We prove the conjecture for a certain class of Schubert varieties. (C) 2000 Academic Press.

[发布日期] 2000-10-01