Anti-affine algebraic groups
Algebraic Geometry
2008-06-25 v3 Group Theory
Abstract
We say that an algebraic group over a field is anti-affine if every regular function on is constant. We obtain a classification of these groups, with applications to the structure of algebraic groups in positive characteristics, and to the construction of many counterexamples to Hilbert's fourteenth problem.
Cite
@article{arxiv.0710.5211,
title = {Anti-affine algebraic groups},
author = {Michel Brion},
journal= {arXiv preprint arXiv:0710.5211},
year = {2008}
}
Comments
Prior work of Carlos Sancho de Salas acknowledged, additional minor changes,