Projective generation and smoothness of congruences of order 1

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dc.creatorPedreira-Perez, Manuel
dc.creatorSola-Conde, Luis-Eduardo
dc.date2000-03-08
dc.date.accessioned2026-07-07T04:34:14Z
dc.date.available2026-07-07T04:34:14Z
dc.descriptionIn this paper we give the projective generation of congruences of order 1 of r-dimensional projective spaces in P^N from their focal loci. In a natural way, this construction shows that the corresponding surfaces in the grassmannian are the Veronese surface, and rational ruled surfaces eventually with singularities. We characterize when these surfaces are smooth, recovering and generalizing a Ziv Ran's result.
dc.descriptionLatex2e, 18 pages
dc.identifierhttps://arxiv.org/abs/math/0003048
dc.identifierhttp://arxiv.org/abs/math/0003048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58825
dc.subjectAlgebraic Geometry
dc.subject14M15;14J
dc.titleProjective generation and smoothness of congruences of order 1
dc.typetext

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