Endomorphisms of rank one Gorenstein del Pezzo surfaces
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909941772582912 |
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| author | Joshi, Rohan |
| author_facet | Joshi, Rohan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03527 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Endomorphisms of rank one Gorenstein del Pezzo surfaces Joshi, Rohan Algebraic Geometry 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. |
| title | Endomorphisms of rank one Gorenstein del Pezzo surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.03527 |