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arXiv · 1006.5175

On frobenius splitting of orbit closures of spherical subgroups in flag varieties

Xuhua He·Jesper Funch Thomsen
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Abstract

Let $H$ be a connected spherical subgroup of a semisimple algebraic group $G$. In this paper, we give a criterion for $H$-orbit closures in the flag variety of $G$ to have nice geometric and cohomological properties. Our main tool is the method of Frobenius splitting and of global F-regularity.

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Xuhua He, Jesper Funch Thomsen. 2010-06-27. On frobenius splitting of orbit closures of spherical subgroups in flag varieties. https://arxiv.org/abs/1006.5175

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