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math.RT2018
A classification of spherical Schubert varieties in the Grassmannian
Reuven Hodges, Venkatramani Lakshmibai
Let be a Levi subgroup of which acts by left multiplication on a Schubert variety in the Grassmannian . We say that is a spherical Schubert variet…
math.AG2018
Toroidal Schubert Varieties
Mahir Bilen Can, Reuven Hodges, Venkatramani Lakshmibai
Levi subgroup actions on Schubert varieties are studied. In the case of partial flag varieties, the horospherical actions are determined. This leads to a characterization of the to…
math.AG2018
Sphericality and Smoothness of Schubert Varieties
Mahir Bilen Can, Reuven Hodges
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 paraboli…