On $G$-birational rigidity of del Pezzo surfaces

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 Kollár's question in dimension 2 by positive.

arXiv commentReorganization of the text according to the referees' suggestions

References in corpus (3)

• Subgroups of odd order in the real plane Cremona group
• Algebraic subgroups of the plane Cremona group over a perfect field
• Generating the plane Cremona groups by involutions