English

The total coordinate ring of a wonderful variety

Algebraic Geometry 2007-05-23 v3 Representation Theory

Abstract

We study the cone of effective divisors and the total coordinate ring of wonderful varieties, with applications to their automorphism group. We show that the total coordinate ring of any spherical variety is obtained from that of the associated wonderful variety by a base change of invariant subrings.

Keywords

Cite

@article{arxiv.math/0603157,
  title  = {The total coordinate ring of a wonderful variety},
  author = {Michel Brion},
  journal= {arXiv preprint arXiv:math/0603157},
  year   = {2007}
}

Comments

Final version, to appear in Journal of Algebra