English

Spherical multiple flags

Algebraic Geometry 2013-07-30 v1

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.

Keywords

Cite

@article{arxiv.1307.7236,
  title  = {Spherical multiple flags},
  author = {Piotr Achinger and Nicolas Perrin},
  journal= {arXiv preprint arXiv:1307.7236},
  year   = {2013}
}

Comments

16 pages

R2 v1 2026-06-22T00:58:49.822Z