Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Schubert Calculus — Osaka 2012, H. Naruse, T. Ikeda, M. Masuda and T. Tanisaki, eds. (Tokyo: Mathematical Society of Japan, 2016), 53 - 74
Spherical multiple flags
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.
Received: 27 July 2013
Revised: 20 July 2014
First available in Project Euclid: 4 October 2018
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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