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Singular Loci of Ladder Determinantal Varieties and Schubert Varieties

โœ Scribed by N. Gonciulea; V. Lakshmibai

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
275 KB
Volume
229
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

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 Q, 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.

๐Ÿ“œ SIMILAR VOLUMES

Singular Loci of Ladder Determinantal Va
Singular Loci of Ladder Determinantal Varieties and Schubert Varieties: Volume 229, Number 2 (2000), pages 463โ€“497
โœ N. Gonciulea; V. Lakshmibai ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 291 KB

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 Q, and we determine the singular loci of these varieties. We state a conjecture on the irreducible components of the singula