Algebraic Geometry - Open Problems: Proceedings of the Conference held in Ravello, May 31 - June 5, 1982 (Lecture Notes in Mathematics (997)) (English and French Edition)

The Conference on ''Open problems in Algebraic Geometry was held in Ravello (Salerno) during the week: May 31st - June 5 th, 1982 . This volume contains most of the lectures and talks given during the Conference as well as papers grown up from discussions among participants . The only exception is paper n° 15 , which however fits very well with the theme of the Conference . On Degeneration Of Projective Curves / E. Ballico And Ph. Ellia -- Variétés Rationelles Et Unirationelles / A. Beauville -- Conic Bundles On Non-rational Surfaces / M. Beltrametti And P. Francia -- Moduli Of Surfaces Of General Type / F. Catanese -- On A Proof Of Torelli's Theorem / C. Ciliberto -- Two Examples Of Algebraic Threefolds Whose Hyperplane Sections Are Enriques Surfaces / A. Conte -- On The Brill-noether Theorem / D. Eisenbud And J. Harris -- Properties Of Arakelov's Intersection Product / G. Faltings -- On Nodal Curves / W. Fulton -- About The Enumeration Of Contacts / W. Fulton, S. Kleiman, And R. Macpherson -- Une Probleme Du Type Brill-noether Pour Les Fibres Vectoriels / F. Ghione -- On The Construction Of Rational Surfaces With Assigned Singularities / S. Greco And A. Vistoli -- Postulation Des Courbes Gauches / L. Gruson And C. Peskine -- Projective Geometry Of Elliptic Curves / K. Hulek -- Linkage Of General Curves Of Large Degree / R. Lazarfeld And P. Rao -- Some Problems And Results On Finite Sets Of Points In Pn / P. Maroscia -- Homogeneous Bundles In Charecteristic P / V.b. Mehta And A. Ramanathan -- The Group Of Sections On A Rational Elliptic Surface / I. Morrison And U. Persson -- On The Kodaira Dimension Of The Siegel Modular Varieties / D. Mumford -- Generalized Hilbert Functions Of Cohen-macaulay Varieties / F. Orecchia -- Some Curves In P3 Are Set-theoretic Complete Intersections / L. Robbiano And G. Valla -- Constructing Enriques Surfaces From Quintics In P3k / E. Stagnaro -- Prym Surfaces And A Siegel Modular Threefold / G. Van Der Geer. Edited By C. Ciliberto, F. Ghione, And F. Orecchia. The Conference On 'open Problems In Algebraic Geometry' Was Held In Ravello (salerno) During The Week: May 31st-june 5th, 1982--introd. Includes Bibliographical References. On degeneration of projective curves....Pages 1-15 Varietes rationnelles et unirationnelles....Pages 16-33 Conic bundles on non-rational surfaces....Pages 34-89 Moduli of surfaces of general type....Pages 90-112 On a proof of Torelli's theorem....Pages 113-123 Two examples of algebraic threefolds whose hyperplane sections are Enriques surfaces....Pages 124-130 On the Brill-Noether theorem....Pages 131-137 Properties of Arakelov's intersection product....Pages 138-145 On nodal curves....Pages 146-155 About the enumeration of contacts....Pages 156-196 Un probleme du type Brill-Noether pour les fibres vectoriels....Pages 197-209 On the construction of rational surfaces with assigned singularities....Pages 210-217 Postulation des courbes gauches....Pages 218-227 Projective geometry of elliptic curves....Pages 228-266 Linkage of general curves of large degree....Pages 267-289 Some problems and results on finite sets of points in P n ....Pages 290-314 Homogeneous bundles in characteristic p....Pages 315-320 The group of sections on a rational elliptic surface....Pages 321-347 On the Kodaira dimension of the Siegel modular variety....Pages 348-375 Generalized hilbert functions of Cohen-Macaulay varieties....Pages 376-390 Some curves in P 3 are set-theoretic complete intersections....Pages 391-399 Prym surfaces and a Siegel modular threefold....Pages 400-403 ....Pages 404-411