English

Classification of affine normal $SL_2$-varieties with a dense orbit

Algebraic Geometry 2020-12-15 v2 Representation Theory

Abstract

In this note we give a classification of all affine normal SL2SL_2-varieties containing an open dense orbit over an algebraically closed field of characteristic zero. Such a classification was first obtained by Popov. Here we provide an alternative approach.

Keywords

Cite

@article{arxiv.2012.02815,
  title  = {Classification of affine normal $SL_2$-varieties with a dense orbit},
  author = {Andres Fernandez Herrero and Rodrigo Horruitiner},
  journal= {arXiv preprint arXiv:2012.02815},
  year   = {2020}
}

Comments

24 pages, 4 figures; v2 added some references

R2 v1 2026-06-23T20:44:34.479Z