Birational geometry of actions on del Pezzo surfaces
Algebraic Geometry
2026-04-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2604.20425,
title = {Birational geometry of actions on del Pezzo surfaces},
author = {Ivan Cheltsov and Yuri Tschinkel and Zhijia Zhang},
journal= {arXiv preprint arXiv:2604.20425},
year = {2026}
}
Comments
46 pages