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Spherical orbit closures in simple proje...
Gandini, Jacopo...
Spherical orbit closures in simple projective spaces and their normalizations by Gandini, Jacopo ( Author )
N.A
07-07-2009
Let G be a simply connected semisimple algebraic group over an algebraically closed field k of characteristic 0 and let V be a rational simple G-module of finite dimension. If G/H \subset P(V) is a spherical orbit and if X is its closure, then we describe the orbits of X and those of its normalization. If moreover the wonderful completion of G/H is strict, then we give necessary and sufficient combinatorial conditions so that the normalization morphism is a homeomorphism. Such conditions are trivially fulfilled if G is simply laced or if H is a symmetric subgroup.
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English
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MYR 0.00
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https://arxiv.org/abs/0907.1177
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