Birational geometry of singular Fano double spaces of index two
نویسندگان
چکیده
منابع مشابه
Fano double spaces of index two
We study birational geometry of Fano varieties, realized as double covers σ: V → P M , M ≥ 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 | − 1 2 K V |. The groups of birational and biregular self-maps of the variety V coincide: Bir V = Aut V .
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ژورنال
عنوان ژورنال: Sbornik: Mathematics
سال: 2021
ISSN: 1064-5616,1468-4802
DOI: 10.1070/sm9363