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arXiv · 2512.03527

Endomorphisms of rank one Gorenstein del Pezzo surfaces

Rohan Joshi
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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.

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Rohan Joshi. 2025-12-03. Endomorphisms of rank one Gorenstein del Pezzo surfaces. https://arxiv.org/abs/2512.03527

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