Enumerative Geometry and Classical Algebraic Geometry

Description

Recording the proceedings of a conference on clas- sical problems involving low-dimensional varieties over algebraically closed fields, this volume focuses on these three major areas: . enumerative geometry · curves and cycles . multiplicities. This state-of-the-art presentation of an active area of research will be of interest to graduate students and researchers alike. TABLE DES MATIERES Preface Courbes de l'espace projectif: varietes de secantes Section plane d'une courbe gauche: postulation p. 33 Degenerations of complete twisted cubics p. 37 Pluricanonical-Gorenstein-curves p, 51 Positivity and excess intersection p. 97 Notes on the evolution of complete correlations p. 107 Diviseurs speciaux et intersection de cycles dans la Jacobienne d'une courbe alg.!;brique p. 133 Fibres de 1 t Hooft speciaux et applications p, 143 Formules multi-secantes pour les courbes gauche quelconques p. 165 Schubert calculus for complete quadrics p. 199 Multiple point formulas for maps p. 237