Smooth $n$-dimensional subvarieties of ${\mathbb P}^{2n-1}$ containing a family of very degenerate divisors

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dc.creatorSierra, José Carlos
dc.date2007-01-04
dc.date2008-06-23
dc.date.accessioned2026-07-07T09:46:16Z
dc.date.available2026-07-07T09:46:16Z
dc.descriptionA classification and a detailed geometric description are given for smooth $n$-dimensional subvarieties $X\subset{\mathbb P}^{2n-1}$ containing a family of effective divisors each of them spanning a linear ${\mathbb P}^n$ of ${\mathbb P}^{2n-1}$. Some results on multisecant lines to threefolds $X\subset{\mathbb P}^5$ follow, as a byproduct.
dc.description19 pages. Final version. To appear in International Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0701138
dc.identifierhttp://arxiv.org/abs/math/0701138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163468
dc.subjectAlgebraic Geometry
dc.subject14M07, 14N05 (Primary) 14D06 (Secondary)
dc.titleSmooth $n$-dimensional subvarieties of ${\mathbb P}^{2n-1}$ containing a family of very degenerate divisors
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