Sphericality and Smoothness of Schubert Varieties
Algebraic Geometry
2020-03-06 v5 Representation Theory
Abstract
We consider the action of the Levi subgroup of a parabolic subgroup that stabilizes a Schubert variety. We show that a smooth Schubert variety is a homogeneous space for a parabolic subgroup, or it has a smooth Schubert divisor. Further, we show that all smooth Schubert varieties in a (partial) flag variety of a rank two simple algebraic group are spherical.
Keywords
Cite
@article{arxiv.1803.05515,
title = {Sphericality and Smoothness of Schubert Varieties},
author = {Mahir Bilen Can and Reuven Hodges},
journal= {arXiv preprint arXiv:1803.05515},
year = {2020}
}
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