On First Order Congruences of Lines in $\mathbb{P}^4$ with Generically Non-reduced Fundamental Surface

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dc.creatorDe Poi, Pietro
dc.date2004-07-20
dc.date2007-04-29
dc.date.accessioned2026-07-07T07:58:29Z
dc.date.available2026-07-07T07:58:29Z
dc.descriptionIn this article we obtain a complete description of the congruences of lines in $\p^4$ of order one provided that the fundamental surface $F$ is non-reduced (and possibly reducible) at one of its generic points, and their classification under the hypothesis that $(F)_{\red}$ is smooth.
dc.description10 pages, AMS-LaTeX; to appear in ``The Asian Journal of Mathematics''
dc.identifierhttps://arxiv.org/abs/math/0407341
dc.identifierhttp://arxiv.org/abs/math/0407341
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128025
dc.subjectAlgebraic Geometry
dc.subjectPrimary 14M15, 14N15, Secondary 51N35
dc.titleOn First Order Congruences of Lines in $\mathbb{P}^4$ with Generically Non-reduced Fundamental Surface
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