Algebraic Geometry Proceedings of the International Conference held
- PDF / 20,044,349 Bytes
- 325 Pages / 468 x 684 pts Page_size
- 15 Downloads / 261 Views
1417 A.J. Sommese A. Biancofiore E. L. Livorni (Eds.)
Algebraic Geometry Proceedings of the International Conference held in L:Aquila, Italy, May 3D-June 4, 1988
Springer-Verlag Berlin Heidelberg New York London ParisTokyo Hong Kong
Editors Andrew John Sommese Department of Mathematics, University of Notre Dame Notre Dame, Indiana 46556, USA Aldo Biancofiore Elvira Laura Livorni Dipartimento di Matematica, Universita degli Studi di L'Aquila 67100 L:Aquila, Italia
Mathematics Subject Classification (1980): 14J99, 14N05, 14M99, 14C99 ISBN 3-540-52217-4 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-52217-4 Springer-Verlag New York Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.
© Springer-Verlag Berlin Heidelberg 1990 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210 Printed on acid-free paper
Introduction The question of how the geometry of a projective variety is determined by its hyperplane sections has been an attractive area of algebraic geometry for at least a century. A century ago Picard's study of hyperplane sections led him to his famous theorem on the 'regularity of the adjoint '. This result, which is the Kodaira vanishing theorem in the special case of very ample line bundles on smooth surfaces, has led to many developments to this day. Castelnuovo and Enriques related the first Betti number of a variety and its hyperplane section. This and Picard's work led to the Lefschetz hyperplane section theorem and the modern work on ampleness and connectivity. A large part of the study of hyperplane sections has always been connected with the classification of projective varieties by projective invariants. Recent new methods, such as the adjunction mappings developed to study hyperplane sections, have led to beautiful general results in this classification, The papers in this proceedings of the L'Aquila Conference capture this lively diversity. They will give the reader a good picture of the currently active parts of the field.The papers can only hint at the friendly 'give and take' that punctuated many talks and at the mathematics actively discussed during the conference. The success of this conference was in large part due to the Scientific and Organizing Committe: Professor Mauro Beltrametti (Genova), Professor Aldo Biancofiore (L'Aquila), Professor Antonio Lanteri (Milano), and Professor Elvira Laura Livomi (L'Aquila), The publication of this proceedings would not have been possible except for the efforts of Professor
Data Loading...
