English

Affine embeddings of homogeneous spaces

Algebraic Geometry 2009-10-03 v2 Rings and Algebras Representation Theory

Abstract

Let G be a reductive algebraic group and let H be a reductive subgroup of G. We describe all pairs (G,H) such that for any affine G-variety X with a dense G-orbit isomorphic to G/H the number of G-orbits in X is finite. The maximal number of parameters in families of G-orbits in all affine embeddings of G/H is computed.

Keywords

Cite

@article{arxiv.math/0004002,
  title  = {Affine embeddings of homogeneous spaces},
  author = {I. V. Arzhantsev and D. A. Timashev},
  journal= {arXiv preprint arXiv:math/0004002},
  year   = {2009}
}

Comments

18 pages, LaTeX 2e

R2 v1 2026-07-22T16:32:03.950Z