## Advanced Studies in Pure Mathematics

### Spherical multiple flags

#### 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.

#### Article information

Dates
Revised: 20 July 2014
First available in Project Euclid: 4 October 2018

https://projecteuclid.org/ euclid.aspm/1538622995

Digital Object Identifier
doi:10.2969/aspm/07110053

Mathematical Reviews number (MathSciNet)
MR3644819

Zentralblatt MATH identifier
1378.14049

#### Citation

Achinger, Piotr; Perrin, Nicolas. Spherical multiple flags. Schubert Calculus — Osaka 2012, 53--74, Mathematical Society of Japan, Tokyo, Japan, 2016. doi:10.2969/aspm/07110053. https://projecteuclid.org/euclid.aspm/1538622995