In this paper, for any simple, simply connected algebraic group 𝐺 of type $B,C$ or 𝐷 and for any maximal parabolic subgroup 𝑃 of 𝐺, we describe all minimal dimensional Schubert varieties in $G/P$ admitting semistable points for the action of a maximal torus 𝑇 with respect to an ample line bundle on $G/P$. We also describe, for any semi-simple simply connected algebraic group 𝐺 and for any Borel subgroup 𝐵 of 𝐺, all Coxeter elements 𝜏 for which the Schubert variety $X(\tau)$ admits a semistable point for the action of the torus 𝑇 with respect to a non-trivial line bundle on $G/B$.
Volume 130, 2020
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