Spherical multiple flags (1307.7236v1)

Published 27 Jul 2013 in math.AG

Abstract: For a reductive group G, the products of projective rational varieties homogeneous under G that are spherical for G have been classified by Stembridge. We consider the B-orbit closures in these spherical varieties and prove that under some mild restrictions they are normal, Cohen-Macaulay and have a rational resolution.

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