Algebraic Geometry — Open Problems: Proceedings of the Conference Held in Ravello, May 31 – June 5, 1982

E. Ballico, Ph. Ellia (auth.), Ciro Ciliberto, Franco Ghione, Ferruccio Orecchia (eds.)9780387123202, 0387123202

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 .

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Table of contents :
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