Automorphisms of finite order on Gorenstein del Pezzo surfaces
Automorphisms of finite order on Gorenstein del Pezzo surfaces
In this paper we shall determine all actions of groups of prime order $p$ with $p \ge 5$ on Gorenstein del Pezzo (singular) surfaces $Y$ of Picard number 1. We show that every order-$p$ element in $\operatorname {Aut}(Y)$ ($= \operatorname {Aut}({\widetilde Y})$, ${\widetilde Y}$ being the minimal resolution of $Y$) …