F-regularity of large Schubert varieties

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Let G denote a connected reductive algebraic group over an algebraically closed field k and let X denote a projective G x 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 is in 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
14 pages

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Algebraic Geometry, Representation Theory, 14M17; 13A35

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http://salesiana.dossiersoluciones.com/handle/123456789/72182

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408180
 http://arxiv.org/abs/math/0408180

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arXiv