Birationally rigid varieties with a pencil of Fano double covers . III
نویسنده
چکیده
We complete the study of birational geometry of Fano fiber spaces π: V → P 1 , the fiber of which is a Fano double hypersurface of index 1. For each family of these varieties we either prove birational rigidity or produce explicitly non-trivial structures of Fano fiber spaces. A new linear method of studying movable systems on Fano fiber spaces V /P 1 is developed. Bibliography: 17 titles.
منابع مشابه
Birationally rigid varieties with a pencil of Fano double covers. II
We continue to study birational geometry of Fano fibrations π:V → P1 the fibers of which are Fano double hypersurfaces of index 1. For a majority of families of this type, which do not satisfy the condition of sufficient twistedness over the base, we prove birational rigidity (in particular, it means that there are no other structures of a fibration into rationally connected varieties) and comp...
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