English

Flexibility of normal affine horospherical varieties

Algebraic Geometry 2019-07-16 v2

Abstract

We investigate flexibility of affine varieties with an action of a linear algebraic group. Flexibility of a smooth affine variety with only constant invertible functions and a locally transitive action of a reductive group is proved. Also we show that a normal affine complexity-zero horospherical variety is flexible.

Keywords

Cite

@article{arxiv.1805.05024,
  title  = {Flexibility of normal affine horospherical varieties},
  author = {Sergey Gaifullin and Anton Shafarevich},
  journal= {arXiv preprint arXiv:1805.05024},
  year   = {2019}
}
R2 v1 2026-06-23T01:53:39.977Z