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arXiv · 2301.07055

On $G$-birational rigidity of del Pezzo surfaces

Egor Yasinsky
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Abstract

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 Koll\'{a}r's question in dimension 2 by positive.

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Egor Yasinsky. 2023-01-17. On $G$-birational rigidity of del Pezzo surfaces. https://doi.org/10.46298/epiga.2025.11640

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