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Paper detail

Sphericality and Smoothness of Schubert Varieties

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.

preprint2020arXivOpen access
Mahir Bilen CanReuven Hodges
math.RTmath.AG
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Mahir Bilen CanReuven Hodges

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