Automorphisms of rigid hypersurfaces with separable variables
Algebraic Geometry
2024-07-15 v1 Rings and Algebras
Abstract
Consider a polynomial F such that each variable appears in exactly one monomial. The hypersurface defined by the polynomial F is called a hypersurface with separable variables. A variety is called rigid if there are no nontrivial actions of the additive group of the ground field on it. If a variety is rigid, then it is known that in the automorphism group there exists a unique maximal torus. We describe the automorphism group of a rigid hypersurface with separable variables, in particular we show that it is a finite extension of the maximal torus.
Cite
@article{arxiv.2407.09235,
title = {Automorphisms of rigid hypersurfaces with separable variables},
author = {Anton Trushin},
journal= {arXiv preprint arXiv:2407.09235},
year = {2024}
}