Generic singularities of certain Schubert varieties
โ Scribed by Michel Brion; Patrick Polo
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- French
- Weight
- 218 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0025-5874
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๐ SIMILAR VOLUMES
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
The singular locus of a Schubert variety X ยต in the flag variety for GL n (C) is the union of Schubert varieties X ฮฝ , where ฮฝ runs over a set Sg(ยต) of permutations in S n . We describe completely the maximal elements of Sg(ยต) 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 ลฝ . the quotient GrB where G s GL n, k , and B is the subgroup consisting ลฝ w x. of all upper-triangular matrices. It is well known that e.g., see 7 ลฝ .