%0 Journal Article
%T Birational geometry of Fano double spaces of index two
%A Aleksandr Pukhlikov
%J Mathematics
%D 2008
%I arXiv
%X We study birational geometry of Fano varieties, realized as double covers $\sigma\colon V\to {\mathbb P}^M$, $M\geq 5$, branched over generic hypersurfaces $W=W_{2(M-1)}$ of degree $2(M-1)$. We prove that the only structures of a rationally connected fiber space on $V$ are the pencils-subsystems of the free linear system $|-\frac12 K_V|$. The groups of birational and biregular self-maps of the variety $V$ coincide.
%U http://arxiv.org/abs/0812.3863v2