English

On affinely closed homogeneous spaces

Algebraic Geometry 2009-08-22 v1 Commutative Algebra

Abstract

Affinely closed homogeneous spaces G/H, i.e., affine homogeneous spaces that admit only the trivial affine embedding, are characterized for any affine algebraic group G. As a corollary, a description of affine G-algebras with finitely generated invariant subalgebras is obtained.

Keywords

Cite

@article{arxiv.math/0406493,
  title  = {On affinely closed homogeneous spaces},
  author = {Ivan V. Arzhantsev and Natalia A. Tennova},
  journal= {arXiv preprint arXiv:math/0406493},
  year   = {2009}
}

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9 pages