Rational Curves on Quasi-Projective Surfaces

dc.creatorKeel, Sean
dc.creatorMcKernan, James
dc.date1997-07-25
dc.date.accessioned2026-07-07T09:07:21Z
dc.date.available2026-07-07T09:07:21Z
dc.descriptionThe main result is that a quasi-projective surface has negative log Kodaira dimension (i.e. no log pluricanonical sections) iff it is dominated by images of the affine line. This follows from our main intermediate result, that the smooth locus of a log Fano surface is rationally connected. We also give a classification of all but a bounded family of rank one log del Pezzo surfaces.
dc.description159 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9707016
dc.identifierhttp://arxiv.org/abs/alg-geom/9707016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150344
dc.subjectAlgebraic Geometry
dc.titleRational Curves on Quasi-Projective Surfaces
dc.typetext

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