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VOL. 71 | 2016 Spherical multiple flags
Piotr Achinger, Nicolas Perrin

Editor(s) Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki

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

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