paper

On models of algebraic group actions

arXiv:2202.04352

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.

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