Rational points on some Fano cubic bundles

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dc.creatorBatyrev, Victor V.
dc.creatorTschinkel, Yuri
dc.date1996-02-17
dc.date.accessioned2026-07-07T09:06:43Z
dc.date.available2026-07-07T09:06:43Z
dc.descriptionWe consider some families of smooth Fano hypersurfaces $X_{n+2}$ in ${\bf P}^{n+2} \times {\bf P}^3$ given by a homogeneous polynomial of bidegree $(1,3)$. For these varieties we obtain lower bounds for the number of $F$-rational points of bounded anticanonical height in arbitrary nonempty Zariski open subset $U \subset X_{n+2}$. These bounds contradict previous expectations about the distribution of $F$-rational points of bounded height on Fano varieties.
dc.description8 pages., LaTeX
dc.identifierhttps://arxiv.org/abs/alg-geom/9602013
dc.identifierhttp://arxiv.org/abs/alg-geom/9602013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150112
dc.subjectAlgebraic Geometry
dc.titleRational points on some Fano cubic bundles
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