English

On models of algebraic group actions

Algebraic Geometry 2022-08-15 v2

Abstract

We show that every action of a smooth algebraic group on a variety admits a normal projective model. Along the way, we present new proofs of some basic results on algebraic transformation groups, including Weil's regularization theorem.

Keywords

Cite

@article{arxiv.2202.04352,
  title  = {On models of algebraic group actions},
  author = {Michel Brion},
  journal= {arXiv preprint arXiv:2202.04352},
  year   = {2022}
}

Comments

Minor changes, 23 pages. Accepted for publication in the Proceedings - Mathematical Sciences, Indian Academy of Sciences (memorial issue in honour of C.S. Seshadri)

R2 v1 2026-06-24T09:27:56.215Z