%0 Journal Article
%T Quotients of del Pezzo surfaces of high degree
%A Andrey Trepalin
%J Mathematics
%D 2013
%I arXiv
%X In this paper we study quotients of del Pezzo surfaces of degree four and more over arbitrary field $\Bbbk$ of characteristic zero by finite groups of automorphisms. We show that if a del Pezzo surface $X$ contains a point defined over the ground field and the degree of $X$ is at least five then the quotient is always $\Bbbk$-rational. If the degree of $X$ is equal to four then the quotient can be non-$\Bbbk$-rational only if the order of the group is $1$, $2$ or $4$. For these groups we construct examples of non-$\Bbbk$-rational quotients.
%U http://arxiv.org/abs/1312.6904v2