Threefolds in $\Bbb P^5$ with a 3-dimensional family of plane curves

dc.creatorMezzetti, Emilia
dc.creatorPortelli, Dario
dc.date1996-04-02
dc.date.accessioned2026-07-07T09:06:46Z
dc.date.available2026-07-07T09:06:46Z
dc.descriptionA classification theorem is given of smooth threefolds of $\Bbb P^5$ covered by a family of dimension at least three of plane integral curves of degree $d\geq 2.$ It is shown that for such a threefold $X$ there are two possibilities: \item{(1)} $X$ is any threefold contained in a hyperquadric; \item{(2)} $d\leq 3$ and $X$ is either the Bordiga or the Palatini scroll.
dc.description17 pages, to appear in Manuscripta Mathematica Plain TeX
dc.identifierhttps://arxiv.org/abs/alg-geom/9604002
dc.identifierhttp://arxiv.org/abs/alg-geom/9604002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150130
dc.subjectAlgebraic Geometry
dc.subject14J30 14M07
dc.titleThreefolds in $\Bbb P^5$ with a 3-dimensional family of plane curves
dc.typetext

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