On $G$-birational rigidity of del Pezzo surfaces

Egor Yasinsky

doi:10.46298/epiga.2025.11640

Egor Yasinsky - On $G$-birational rigidity of del Pezzo surfaces

epiga:11640 - Épijournal de Géométrie Algébrique, May 27, 2025, Volume 9 - https://doi.org/10.46298/epiga.2025.11640

On $G$-birational rigidity of del Pezzo surfacesArticle

Authors: Egor Yasinsky

Let $G$ be a finite group and $H\subseteq G$ be its subgroup. We prove that if a smooth del Pezzo surface over an algebraically closed field is $H$-birationally rigid then it is also $G$-birationally rigid, answering a geometric version of Kollár's question in dimension 2 by positive.

Comment: Reorganization of the text according to the referees' suggestions

https://doi.org/10.46298/epiga.2025.11640

Source: arXiv.org:2301.07055

Volume: Volume 9

Published on: May 27, 2025

Accepted on: October 30, 2024

Submitted on: July 25, 2023

Keywords: Mathematics - Algebraic Geometry, 14E07, 14E05, 14E30, 14J45, 14M22

Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)