Endomorphisms of rank one Gorenstein del Pezzo surfaces
Algebraic Geometry
2025-12-04 v1
Abstract
We prove that, in all except one case, a Gorenstein del Pezzo surface of Picard rank 1 admits an int-amplified endomorphism if and only if it is a quotient of a toric variety by a finite group which acts freely in codimension one and preserves the open torus. We classify all such quotients.
Cite
@article{arxiv.2512.03527,
title = {Endomorphisms of rank one Gorenstein del Pezzo surfaces},
author = {Rohan Joshi},
journal= {arXiv preprint arXiv:2512.03527},
year = {2025}
}