Birational geometry of algebraic varieties with a pencil of Fano complete intersections

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dc.creatorPukhlikov, Aleksandr V.
dc.date2005-11-03
dc.date.accessioned2026-07-07T06:50:45Z
dc.date.available2026-07-07T06:50:45Z
dc.descriptionWe prove birational superrigidity of generic Fano fiber spaces $V/{\mathbb P}^1$, the fibers of which are Fano complete intersections of index 1 and dimension $M$ in ${\mathbb P}^{M+k}$, provided that $M\geq 2k+1$. The proof combines the traditional quadratic techniques of the method of maximal singularities with the linear techniques based on the connectedness principle of Shokurov and Koll\' ar. Certain related results are also considered.
dc.description15 pages, LATEX
dc.identifierhttps://arxiv.org/abs/math/0511090
dc.identifierhttp://arxiv.org/abs/math/0511090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104762
dc.subjectAlgebraic Geometry
dc.subject14E05; 14E07
dc.titleBirational geometry of algebraic varieties with a pencil of Fano complete intersections
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