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Title Complex projective geometry / edited by G. Ellingsrud [and others]
Published Cambridge ; New York : Cambridge University Press, 1992

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Description 1 online resource (340 pages) : illustrations
Series London Mathematical Society lecture note series ; 179
London Mathematical Society lecture note series ; 179.
Contents Cover; Title; Copyright; Contents; Introduction; Projective Varieties; Vector Bundles and Special Projective Embeddings; List of Participants; Speciality one rational surfaces in P4; Bounding sections of bundles on curves; The smooth surfaces of degree 9 in P4; Compactifying the space of elliptic quartic curves; Threefolds of degree 11 in P5; Complete extensions and their map to moduli space; On the Betti numbers of the moduli space of stable bundles of rank two on a curve; Gaussian maps for certain families of canonical curves; Geometry of the Horrocks bundle on P3
Stability and restrictions of Picard bundles, with an application to the normal bundles of elliptic curvesSections planes et majoration du genre des courbes gauches; A tribute to Corrado Segre; Un aperçu des travaux mathématiques de GB. Halphen (1844-1889); The source double-point cycle of a finite map of codimension one; Fibré déterminant et courbes de saut sur les surfaces algébriques; Courbes minimales dans les classes de biliaison; Fano 3-folds; Polarized K3 surfaces of genus 18 and 20; Protective compactifications of complex afflne varieties; On generalized Laudal's lemma
Sur la stabilité des sous-variété lagrangiennes des variétés symplectiques holomorphesIntroduction to Gaussian maps on an algebraic curve; Some examples of obstructed curves in P3
Summary Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods have been developed for questions such as: what is the geometric content of syzygies and of bundles derived from them? how can they be used for giving good compactifications of natural families? which differential techniques are needed for the study of families of projective varieties? Such problems have often been reformulated over the last decade; often the need for a deeper analysis of the works of classical algebraic geometers was recognised. These questions were addressed at successive conferences held in Trieste and Bergen. New results, work in progress, conjectures and modern accounts of classical ideas were presented. This collection represents a development of the work conducted at the conferences; the Editors have taken the opportunity to mould the papers into a cohesive volume
Bibliography Includes bibliographical references
Notes English
Print version record
Subject Geometry, Algebraic -- Congresses
Vector bundles -- Congresses
Embeddings (Mathematics) -- Congresses
Algebraic varieties -- Congresses
MATHEMATICS -- Geometry -- Algebraic.
Algebraic varieties
Embeddings (Mathematics)
Geometry, Algebraic
Vector bundles
Vektorraumbündel
Projektive Mannigfaltigkeit
Genre/Form Conference papers and proceedings
Form Electronic book
Author Ellingsrud, Geir
LC no. 93100697
ISBN 9781107361867
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