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arxiv: 1902.04353 · v1 · pith:RBR3T44Dnew · submitted 2019-02-12 · 🧮 math.AG

Torus quotient of Richardson varieties in Orthogonal and Symplectic Grassmannians

classification 🧮 math.AG
keywords maximalrichardsontorusactionadmitalgebraicamplebundle
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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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