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? These questions are addressed in this cohesive volume, where results, work in progress, conjectures, and modern accounts of classical ideas are presented.
Author(s): G. Ellingsrud, C. Peskine, G. Sacchiero, S. A. Stromme
Series: London Mathematical Society Lecture Note Series
Publisher: CUP
Year: 1992
Language: English
Pages: 351
Cover......Page 1
Series Titles......Page 2
Title Page......Page 4
Copyright Page......Page 5
Contents......Page 6
Introduction......Page 8
List of Talks of Projective Varieties......Page 9
List of Talks of Vector Bundles ........Page 10
List of Participants......Page 11
Speciality one rational surfaces in P^4......Page 12
Bounding sections of bundles on curves......Page 35
The smooth surfaces of degree 9 in P4......Page 43
Compactifying the space of elliptic quartic curves......Page 58
Threefolds of degree 11 in P^5......Page 70
Complete extensions and their map to moduli space......Page 92
On the Betti numbers of the moduli space of stable bundles of rank two on a curve......Page 103
Gaussian maps for certain families of canonical curves......Page 117
Geometry of the Horrocks bundle on P3......Page 139
Stability and restrictions ofPicard bundles, with an application to the normal bundles of elliptic curves......Page 160
Sections planes et majoration du genre des courbes gauches......Page 168
A tribute to Corrado Segre......Page 186
Un apergu des travaux mathtmatiques de GB. Halphen (1844-1889)......Page 200
The source double-point cycle of a finite map of codimension one......Page 210
Fibre determinant et courbes de saut sur les surfaces algibriques......Page 224
Courbes minimales dans les classes de biliaison......Page 252
Fano3-folds......Page 266
Polarized K3 surfaces of genus 18 and 20......Page 275
Protective compactifications of complex afflne varieties 2......Page 88
On generalized Laudal's lemma......Page 295
Sur la stability des sous-varies lagrangiennes des variitis symplectiques holomorphes......Page 305
Introduction to Gaussian maps on an algebraic curve......Page 315
Some examples of obstructed curves in P^3......Page 335
