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arXiv · 1902.04353

Torus quotient of Richardson varieties in Orthogonal and Symplectic Grassmannians

Arpita Nayek·Santosha Kumar Pattanayak
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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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Arpita Nayek, Santosha Kumar Pattanayak. 2019-02-12. Torus quotient of Richardson varieties in Orthogonal and Symplectic Grassmannians. https://arxiv.org/abs/1902.04353

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