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
Small resolutions of singularities of Schubert varieties
β Scribed by A. V. Zelevinskii
- Publisher
- Springer US
- Year
- 1983
- Tongue
- English
- Weight
- 271 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0016-2663
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π SIMILAR VOLUMES
The singular locus of a Schubert variety X Β΅ in the flag variety for GL n (C) is the union of Schubert varieties X Ξ½ , where Ξ½ runs over a set Sg(Β΅) of permutations in S n . We describe completely the maximal elements of Sg(Β΅) under the Bruhat order, thus determining the irreducible components of th
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 .