Birational geometry of actions on del Pezzo surfaces

Fuente: arXiv
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Autori principali: Cheltsov, Ivan, Tschinkel, Yuri, Zhang, Zhijia
Natura: Preprint
Pubblicazione: 2026
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author Cheltsov, Ivan
Tschinkel, Yuri
Zhang, Zhijia
author_facet Cheltsov, Ivan
Tschinkel, Yuri
Zhang, Zhijia
contents We complete the classification of regular generically free actions of finite groups on del Pezzo surfaces, up to birational equivalence. As a byproduct, we settle several open problems in equivariant birational geometry, e.g., we classify birationally rigid actions on del Pezzo surfaces.
format Preprint
id arxiv_https___arxiv_org_abs_2604_20425
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Birational geometry of actions on del Pezzo surfaces
Cheltsov, Ivan
Tschinkel, Yuri
Zhang, Zhijia
Algebraic Geometry
We complete the classification of regular generically free actions of finite groups on del Pezzo surfaces, up to birational equivalence. As a byproduct, we settle several open problems in equivariant birational geometry, e.g., we classify birationally rigid actions on del Pezzo surfaces.
title Birational geometry of actions on del Pezzo surfaces
topic Algebraic Geometry
url https://arxiv.org/abs/2604.20425