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

Published 27 Jun 2010 in math.RT | (1006.5175v1)

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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