F-regularity of large Schubert varieties
代数几何
2007-05-23 v1 表示论
摘要
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
引用
@article{arxiv.math/0408180,
title = {F-regularity of large Schubert varieties},
author = {Michel Brion and Jesper Funch Thomsen},
journal= {arXiv preprint arXiv:math/0408180},
year = {2007}
}
备注
14 pages