Space Curves: Proceedings of a Conference Held in Rocca Di Papa, Italy, June 3-8, 1985 (Lecture Notes in Mathematics)

The main topics of the conference on "Curves in Projective Space" were good and bad families of projective curves, postulation of projective space curves and classical problems in enumerative geometry. Beyond the maximal rank conjecture for curves in IP 3 ....Pages 1-23 Hilbert functions of finite sets of points and the genus of a curve in a projective space....Pages 24-73 On the cohomology of projective curves....Pages 74-83 On the variety of nets of quadrics defining twisted cubics....Pages 84-96 Genre d'une courbe lisse tracee sur une variete reglee....Pages 97-107 Space curves: Complete series and speciality....Pages 108-123 Sections planes et multisecantes pour les courbes gauches generiques principales....Pages 124-155 Sketch of a verification of Schubert's number 5819539783680 of twisted cubics....Pages 156-180 Non-reduced components of the hilbert scheme of smooth space curves....Pages 181-207 A family of vector bundles on P 3 ....Pages 208-231 Multiplicities and Betti numbers of homogeneous ideals....Pages 232-250 On parametrized rational curves in grassmann varieties....Pages 251-272 F. Ghione, C. Peskine, E. Sernesi, Eds. Organized By The Ii Università Di Roma. Includes Bibliographies.