Universidad Complutense de Madrid
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Projective normality and syzygies of algebraic surfaces



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Gallego Rodrigo, Francisco Javier y Purnaprajna, Bangere P. (1999) Projective normality and syzygies of algebraic surfaces. Journal für die reine und angewandte Mathematik, 506 . pp. 145-180. ISSN 0075-4102

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In this work we develop new techniques to compute Koszul cohomology groups for several classes of varieties. As applications we prove results on projective normality and syzygies for algebraic surfaces. From more general results we, obtain in particular the following: (a) Mukai's conjecture (and stronger variants of it) regarding projective normality and normal presentation for surfaces with Kodaira dimension 0, and uniform bounds for higher syzygies associated to adjoint linear series, (b) effective bounds along the lines of Mukai's conjecture regarding projective normality and normal presentation for surfaces of positive Kodaira dimension, and, (c) results on projective normality for pluricanonical models of surfaces of general type (recovering and strengthening results by Ciliberto) and generalizations of them to higher syzygies. In addition, we also extend the above results to singular surfaces.

Tipo de documento:Artículo
Información Adicional:

Erratum ibid. 523, 233-234 (2000)

Palabras clave:Koszul cohomology; Projective normality; Syzygies; Enriques surfaces; Adjoint bundles; surfaces of general type
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:15414
Depositado:29 May 2012 09:19
Última Modificación:07 Abr 2015 08:06

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