Algebraic Geometry  book cover
1st Edition

Algebraic Geometry

Edited By

Peter E. Newstead

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ISBN 9780824702342
Published July 31, 1998 by CRC Press
422 Pages

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Book Description

Presents a compendium of papers selected from the Europroj conferences held in Catania and Barcelona. The text contains research in algebraic geometry with emphasis on classification problems, and in particular studies on the structure of moduli spaces of vector bundles, and on the classification of curves and surfaces.

Table of Contents

Surfaces rationelles de degre 5 de P3 obtenues commes images d'eclatements de points du plan; etude de varietes des courbes planes a noeuds et a cusps; compactified Jacobians and curves with simple singularities; smooth surfaces of P4 rules in conics; weak Brill-Noether for vector bundles on the projective plane; probleme de Brill Noether et groupe de Picard de l'espace de modules des Faisceaux semi-stables sur le plan projectif; Gaussian maps and Plethysm; quand un morphisme de fibres degenere-t-il le long d'une courbe lisse?; group de Picard de la variete des theta-caracteristiques des courbes planes; irreducibility of moduli spaces of vector bundles on birationally ruled surfaces; on the Harder-Narasimhan filtration for coherent sheaves on P2; fibres en droites amples sur des familles d'indeaux homogenes de C[x,y]; existence of mu-stable vector bundles on K3 surfaces and the Fourier Mukai transform; on stable rank two bundles with canonical determinant and many sections; vector bundles of rank 2, degree 0 on a nodal hyperelliptic curve; classification des courbes sur les surfaces rationelles generiques; conic bundles in projective fourspace; composante centrale du lieu de Brill-Noether de HibNP2; Prym varieties and the moduli of spin bundles; Burchnall-Chaundy bundles; Hilbert stability versus slope stability for vector bundles of rank two; une preuve elementaire de la trivialite du groupe CH0 d'une surface d'Enriques.

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"...offer[s] updated and stimulating information concerning important research areas of algebraic geometry. It is a very useful resource for researchers and graduate students in this branch of mathematics."
---Romanian Journal of Pure and Applied Mathematics, 2000