Abstract
For a reductive group $G$, the products of projective varieties homogeneous under $G$ that are spherical for the diagonal action of $G$ 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.
Information
Published: 1 January 2016
First available in Project Euclid: 4 October 2018
zbMATH: 1378.14049
MathSciNet: MR3644819
Digital Object Identifier: 10.2969/aspm/07110053
Subjects:
Primary:
14M27
,
20G15
Keywords:
homogeneous spaces
,
normal singularities
,
rational resolutions
,
spherical varieties
Rights: Copyright © 2016 Mathematical Society of Japan
