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Multi-cones over Schubert varieties

✍ Scribed by George R. Kempf; A. Ramanathan


Publisher
Springer-Verlag
Year
1987
Tongue
English
Weight
564 KB
Volume
87
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES


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Let k be a field and let FL n, k denote the variety of full flags on an n-dimensional vector space over k. This variety can also be identified with Ε½ . the quotient GrB where G s GL n, k , and B is the subgroup consisting Ε½ w x. of all upper-triangular matrices. It is well known that e.g., see 7 Ε½ .

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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