Complex Projective Geometry: Selected 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. Cover......Page p0001.djvu Series Titles......Page p0002.djvu Title Page......Page p0004.djvu Copyright Page......Page p0005.djvu Contents......Page p0006.djvu Introduction......Page p0008.djvu List of Talks of Projective Varieties......Page p0009.djvu List of Talks of Vector Bundles ........Page p0010.djvu List of Participants......Page p0011.djvu Speciality one rational surfaces in P^4......Page p0012.djvu Bounding sections of bundles on curves......Page p0035.djvu The smooth surfaces of degree 9 in P4......Page p0043.djvu Compactifying the space of elliptic quartic curves......Page p0058.djvu Threefolds of degree 11 in P^5......Page p0070.djvu Complete extensions and their map to moduli space......Page p0092.djvu On the Betti numbers of the moduli space of stable bundles of rank two on a curve......Page p0103.djvu Gaussian maps for certain families of canonical curves......Page p0117.djvu Geometry of the Horrocks bundle on P3......Page p0139.djvu Stability and restrictions ofPicard bundles, with an application to the normal bundles of elliptic curves......Page p0160.djvu Sections planes et majoration du genre des courbes gauches......Page p0168.djvu A tribute to Corrado Segre......Page p0186.djvu Un apergu des travaux mathtmatiques de GB. Halphen (1844-1889)......Page p0200.djvu The source double-point cycle of a finite map of codimension one......Page p0210.djvu Fibre determinant et courbes de saut sur les surfaces algibriques......Page p0224.djvu Courbes minimales dans les classes de biliaison......Page p0252.djvu Fano3-folds......Page p0266.djvu Polarized K3 surfaces of genus 18 and 20......Page p0275.djvu Protective compactifications of complex afflne varieties 2......Page p0088.djvu On generalized Laudal's lemma......Page p0295.djvu Sur la stability des sous-varies lagrangiennes des variitis symplectiques holomorphes......Page p0305.djvu Introduction to Gaussian maps on an algebraic curve......Page p0315.djvu Some examples of obstructed curves in P^3......Page p0335.djvu