Birationally rigid varieties with a pencil of Fano double covers. I

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dc.creatorPukhlikov, Aleksandr V.
dc.date2003-10-17
dc.date.accessioned2026-07-07T05:02:01Z
dc.date.available2026-07-07T05:02:01Z
dc.descriptionWe prove that a general Fano fibration $π\colon V\to {\mathbb P}^1$, the fiber of which is a double Fano hypersurface of index 1, is birationally superrigid provided it is sufficiently twisted over the base. In particular, on $V$ there are no other structures of a rationally connected fibration. The proof is based on the method of maximal singularities.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/math/0310270
dc.identifierhttp://arxiv.org/abs/math/0310270
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68896
dc.subjectAlgebraic Geometry
dc.subject14E05; 14E07; 14E08
dc.titleBirationally rigid varieties with a pencil of Fano double covers. I
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