English

The quotient of a complete symmetric variety

Algebraic Geometry 2008-05-19 v2

Abstract

We study the quotient of a completion of a symmetric variety G/H under the action of H. We prove that this is isomorphic to the closure of the image of an isotropic torus under the action of the restricted Weyl group. In the case the completion is smooth and toroidal we describe the set of semistable points.

Keywords

Cite

@article{arxiv.0801.0509,
  title  = {The quotient of a complete symmetric variety},
  author = {Corrado De Concini and Senthamarai Kannan and Andrea Maffei},
  journal= {arXiv preprint arXiv:0801.0509},
  year   = {2008}
}

Comments

Dedicated to Ernest Vinberg on occasion of his 70th birthday