Book contents
- Frontmatter
- 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 curves
- Sections planes et majoration du genre des courbes gauches
- A tribute to Corrado Segre
- Un aperçu des travaux mathématiques de G.H. 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-variétés lagrangiennes des variétés symplectiques holomorphes
- Introduction to Gaussian maps on an algebraic curve
- Some examples of obstructed curves in P3
INTRODUCTION
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- 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 curves
- Sections planes et majoration du genre des courbes gauches
- A tribute to Corrado Segre
- Un aperçu des travaux mathématiques de G.H. 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-variétés lagrangiennes des variétés symplectiques holomorphes
- Introduction to Gaussian maps on an algebraic curve
- Some examples of obstructed curves in P3
Summary
In the recent years, one has seen the developements of new methods in the study of projective complex varieties. Among others, techniques involving algebraic vector bundles and deformation theory have had an increasingly important role. Surprisingly or not, these developements often stem from problems in traditional Projective Geometry. They were therefore followed by a renewed interest in the works and ideas of the old masters of the subject.
These new trends were studied during two conferences organized, in collaboration, by the Universities of Trieste (“Projective Varieties”, 19–24 June 1989) and Bergen (“Vector Bundles and Special Projective Embeddings”, 3–16 July 1989). We publish here selected papers from these meetings, hoping they will reflect the main subjects of interest as well as the pleasant working atmosphere of this month of Projective Complex Geometry.
Acknowledgements.
The conference “Projective Varieties” in Trieste was made possible by the supports of the “Consiglio Nazionale delle Ricerche” (C.N.R.), the regional authorities of “Friuli-Venezia Giulia” and the University of Trieste.
The conference “Vector Bundles and Special Projective Embeddings” in Bergen was made possible by the support of the Norwegian Research Council for Sciences and Humanities' (N.A.V.F.). The support given by the French authorities through “le Conseiller Scientifique” at the French Embassy in Norway allowed for a particularly important French participation. The University in Bergen provided an excellent working environment.
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- Complex Projective GeometrySelected Papers, pp. viiPublisher: Cambridge University PressPrint publication year: 1992