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arXiv:2301.07055 [math.AG]AbstractReferencesReviewsResources

On $G$-birational rigidity of del Pezzo surfaces

Egor Yasinsky

Published 2023-01-17Version 1

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.

Categories: math.AG
Subjects: 14E07, 14E05, 14E30, 14J45, 14M22
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