English

Realisation of linear algebraic groups as automorphism groups

Algebraic Geometry 2023-11-27 v3

Abstract

Let GG be a linear algebraic group, over a field FF. We show that GG is isomorphic to the automorphism group scheme of a smooth projective FF-variety, defined as the blow-up of a projective space, along a suitable smooth subvariety.

Keywords

Cite

@article{arxiv.2311.04118,
  title  = {Realisation of linear algebraic groups as automorphism groups},
  author = {Mathieu Florence},
  journal= {arXiv preprint arXiv:2311.04118},
  year   = {2023}
}

Comments

Updated the introduction. 5^2 pages. Comments are welcome:)

R2 v1 2026-06-28T13:14:13.960Z