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- Title
F-REGULARITY OF LARGE SCRUBERT VARIETIES.
- Authors
Brion, Michel; Thomsen, Jesper Funch
- Abstract
Let G denote a connected reductive algebraic group over an algebraically closed field k and let X denote a projective G × G-equivariant embedding of G. The large Schubert varieties in X are the closures of the double cosets BgB, where B denotes a Borel subgroup of G, and g ∊ G. We prove that these varieties are globally F-regular in positive characteristic, resp. of globally F-regular type in characteristic 0. As a consequence, the large Schubert varieties are normal and Cohen-Macaulay.
- Subjects
SCHUBERT varieties; ALGEBRAIC geometry; BOREL subgroups; EMBEDDINGS (Mathematics); COHEN-Macaulay modules; FROBENIUS algebras
- Publication
American Journal of Mathematics, 2006, Vol 128, Issue 4, p949
- ISSN
0002-9327
- Publication type
Article
- DOI
10.1353/ajm.2006.0030