Some results on rational surfaces and Fano varieties

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The 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.
26 pages, AMSTeX

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/58548

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001107
 http://arxiv.org/abs/math/0001107

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arXiv