Automorphisms of products of toric varieties
Algebraic Geometry
2022-11-29 v2
Abstract
We give an explicit description of the automorphism group of a product of complete toric varieties over an arbitrary field in terms of the respective automorphism groups of its components. More precisely, we prove that, up to permutation of isomorphic components, an automorphism of a product corresponds to a product of automorphisms of its components. We also reprove, in modern language, the classic result by Demazure describing the group-scheme of automorphisms of a complete toric variety over an arbitrary field.
Keywords
Cite
@article{arxiv.2101.03600,
title = {Automorphisms of products of toric varieties},
author = {Alvaro Liendo and Giancarlo Lucchini Arteche},
journal= {arXiv preprint arXiv:2101.03600},
year = {2022}
}
Comments
v2: Final version, 7 pages. Modified the layout of the results and the introduction, but the math is the same