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

## 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 |
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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 |

Last Modified: | 06 Feb 2014 10:23 |

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