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Some results on rational surfaces and Fano varieties.

Gallego Rodrigo, Francisco Javier and Purnaprajna, Bangere P. (2001) Some results on rational surfaces and Fano varieties. Journal fur die Reine und Angewandte Mathematik, 538 . pp. 25-55. ISSN 0075-4102

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Abstract

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 N-p. This criterion turns out to be a characterization of property N-p if X is anticanonical. We also prove syzygy results for adjunction bundles and a Reider type theorem for higher syzygies

Item Type:Article
Uncontrolled Keywords:Rational surface; Fano variety; line bundle; Syzygy;property Np; Adjunction bundles; Koszul cohomology
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:15391
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Deposited On:28 May 2012 09:32
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