Some results on rational surfaces and Fano varieties

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dc.creatorGallego, Francisco Javier
dc.creatorPurnaprajna, B. P.
dc.date2000-01-19
dc.date.accessioned2026-07-07T04:33:22Z
dc.date.available2026-07-07T04:33:22Z
dc.descriptionThe goal of this article is to study the equations and syzygies of embeddings of rational surfaces and certain Fano varieties. Given a rational surface X and an ample and base-point-free line bundle L on X, we give an optimal numerical criterion for L to satisfy property Np. This criterion turns out to be a characterization of property Np if X is anticanonical. We also prove syzygy results for adjunction bundles and a Reider type theorem for higher syzygies. For certain Fano varieties we also prove results on very ampleness and higher syzygies.
dc.description26 pages, AMSTeX
dc.identifierhttps://arxiv.org/abs/math/0001107
dc.identifierhttp://arxiv.org/abs/math/0001107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58548
dc.subjectAlgebraic Geometry
dc.titleSome results on rational surfaces and Fano varieties
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