Birational automorphisms of algebraic varieties with a pencil of cubic surfaces

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dc.creatorPukhlikov, Aleksandr V.
dc.date1996-11-08
dc.date.accessioned2026-07-07T09:07:03Z
dc.date.available2026-07-07T09:07:03Z
dc.descriptionIt is proved that on a smooth algebraic variety, fibered into cubic surfaces over the projective line and sufficiently ``twisted'' over the base, there is only one pencil of rational surfaces -- that is, this very pencil of cubics. In particular, this variety is non-rational; moreover, it can not be fibered into rational curves. The proof is obtained by means of the method of maximal singularities.
dc.description29 pages, latex, to appear in Izvestia
dc.identifierhttps://arxiv.org/abs/alg-geom/9611009
dc.identifierhttp://arxiv.org/abs/alg-geom/9611009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150232
dc.subjectAlgebraic Geometry
dc.titleBirational automorphisms of algebraic varieties with a pencil of cubic surfaces
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