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On $G$-birational rigidity of del Pezzo surfaces
Published 17 Jan 2023 in math.AG | (2301.07055v2)
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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