Theorems of Bertini and Chevalley
Algebraic Geometry
2026-05-06 v1
Abstract
We give a short proof of Chevalley's theorem that every algebraic group is an extension of an Abelian variety by a linear algebraic group. Along the way we treat Bertini's irreducibility theorem.
Cite
@article{arxiv.2605.03115,
title = {Theorems of Bertini and Chevalley},
author = {János Kollár},
journal= {arXiv preprint arXiv:2605.03115},
year = {2026}
}