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Some results on rational surfaces and Fano varieties.

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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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Official URL: http://arxiv.org/pdf/math/0001107v1.pdf


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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
Deposited On:28 May 2012 09:32
Last Modified:22 Aug 2018 09:21

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