Complex Projective Geometry Selected Papers [Paperback]

A volume of papers describing new methods in algebraic geometry.Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embedding. Results, work in progress, conjectures, and modern accounts of classical ideas are presented in this collection of papers.Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embedding. Results, work in progress, conjectures, and modern accounts of classical ideas are presented in this collection of papers.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.1. Speciality one rational surfaces in P4 J. Alexander; 2. Bounding sections of bundles on curves E. Arrondo and I. Sols; 3. The smooth surfaces of degree 9 in P4 A. B. Aure and K. Ranestad; 4. Compactifying the space of elliptic quartic curves D. Avritzer and I. Vainsencher; 5. Threefolds of degree 11 in P5 M. Beltrametti, M. Schneider and A. J. Sommese; 6. Complete extensions and their map to moduli space A. Bertram; 7. On the Betti numbers of the moduli space of stable bundles of rank two on a curve E. Bifet, F. Ghione and M. Letizia; 8. Gaussian maps for certain families of canonical curves C. Ciliberto and R. Miranda; 9. Geometry of the Horrocks bundle on P3 W. Decker, N. Manolache and F. O. Schreyer; 10. Stability and restrictions of Picard bundles, with an application to the normal bundles of elliptic curves L. Ein and R. Lazarsfeld; 11. SectionlS"