Torus quotient of Richardson varieties in Orthogonal and Symplectic Grassmannians

2019/02/12 by Nayek, Arpita, Pattanayak, Santosha Kumar
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.04353

Abstract

For any simple, simply connected algebraic group G of type B,C and D and for any maximal parabolic subgroup P of G, we provide a criterion for a Richardson variety in G/P to admit semistable points for the action of a maximal torus T with respect to an ample line bundle on G/P.

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• Torus quotients of homogeneous spaces-minimal dimensional Schubert Variety admitting semi-stable points
• Torus Quotients of Richardson Varieties
• Torus quotients of Richardson varieties in the Grassmannian
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