Classification Theory of Algebraic Varieties and Compact Complex Spaces
- PDF / 12,940,478 Bytes
- 296 Pages / 439.37 x 666.14 pts Page_size
- 102 Downloads / 222 Views
439 Kenji Ueno
Classification Theory of Algebraic Varieties and Compact Complex Spaces Notes written in collaboration with P. Cherenack
Springer-Verlag Berlin· Heidelberg· New York 1975
Dr. Kenji Ueno Department of Mathematics Faculty of Science University of Tokyo Tokyo/Japan
Library of Congress Cataloging in Publication Data Ueno, Kenji, 1945-
Classification
compact complex
theory of algeb raic varieties and
spaces.
(Lecture notes in mathematics ;
Bibliography: p.
439)
Includes index.
1. Algebraic varieties. 2. Complex manifolds 3. Analytic spaces. 4. Fiber bundles (Mathematics) I. Title. II. Series: Lecture notes in mathematics (Berlin) ; 439 .
QA3.L28 no. 439 [QA564] 510'.8s [514'.224] 75-1211
AMS Subject Classifications (1970): 14-02, 14A10, 14J15, 32-02, 32C10, 32J15, 32J99, 32L05 ISBN 3-540-07138-5 Springer-Verlag Berlin · Heidelberg · New York ISBN 0-387-07138-5 Springer-Verlag New York · Heidelberg · Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin· Heidelberg 1975. Printed in Germany. Offsetdruck: Julius Beltz, Hemsbach/Bergstr.
To Professor
K. Kodaira
PREFACE The present notes are based on the lectures which I gave at the University of Mannheim from March 1972 to July 1972.
The lectures
were informal and were intended to provide an introduction to the classification theory of higher dimensional algebraic varieties and compact complex spaces recently developed by other mathematicians in Tokyo.
s.
Kawai,
s.
Iitaka and
The notes were taken by P. Cherenack.
Since there were no available lecture notes on these subjects, I decided after reading Cherenack's notes to rewrite them more
systemat~
ically so that they would serve as an introduction to our classification theory.
Several topics which I did not mention at Mannheim have
been added. P. Cherenack typed a good part of the first version of my manuscript, improving my English.
He also compiled a first version of the
bibliography which was quite helpful in completing the final version of the bibliography. Here I gratefully acknowledge my indebtedness to him. I would like to express my thanks to Professor H. Popp and the Department of Mathematics of the University of Mannheim for giving me the opportunity of visiting Mannheim and of giving these lectures. The greater part of the final version of the present notes was written when I was a visiting member of the M:athematical Institute of the University of Bonn.
I wish to express my thanks to Professor
F. Hirzebruch and the Mathematical Institute of the University of Bonn for inviting me to Bonn, and to the Department
Data Loading...
