English

Affinity criterion for the quotient of an algebraic group by a one-dimensional subgroup

Algebraic Geometry 2007-10-02 v1

Abstract

In this work we show that the homogeneous space of an affine algebraic group GG by a one-dimensional unipotent subgroup HH is affine if and only if the subgroup is not contained in any reductive subgroup of GG.

Keywords

Cite

@article{arxiv.0710.0160,
  title  = {Affinity criterion for the quotient of an algebraic group by a one-dimensional subgroup},
  author = {Alexey V. Petukhov},
  journal= {arXiv preprint arXiv:0710.0160},
  year   = {2007}
}