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Some results on rational surfaces and Fano varieties.


Gallego Rodrigo, Francisco Javier y 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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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

Tipo de documento:Artículo
Palabras clave:Rational surface; Fano variety; line bundle; Syzygy;property Np; Adjunction bundles; Koszul cohomology
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:15391

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Última Modificación:06 Feb 2014 10:23

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