文档介绍:Classics in Mathematics
Kunihiko plex Manifolds and
Deformation plex Structures
Kunihiko Kodaira
Complex Manifolds
and Deformation
plex Structures
Reprint ofthe 1986 Edition
^ Spri]nse 'g' r
Originally published as Vol. 283 in the series
Grundlehren der mathematischen Wissenschaften
Library of Congress Control Number: 2004113281
Mathematics Subject Classification (2000): 32-01,23C10,58C10
ISSN 1431-0821
ISBN 3-540-22614-1 Springer Berlin Heidelberg New York
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, reuse of illustrations, recitation, broadcasting,
reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or
parts thereof is permitted only under the provisions of the German Copyright Law of September 9,1965, in its
current version, and permission for use must always be obtained from Springer. Violations are liable for
prosecution under the German Copyright Law.
Springer is a part of Springer Science+Business Media
springeronlinexom
© Springer Berlin Heidelberg 2005
Printed in Germany
The use of general descriptive names, registered names, trademarks etc. in this publication does not imply,
even in the absence of a specific statement, that such names are exempt from the relevant protective laws and
regulations and therefore free for general use.
Printed on acid-fi-ee paper 41/3142YL-5 4 3210
Dedicated to my esteemed colleague and friend
D. C. Spencer
Preface
This book is an introduction to the theory plex manifolds and their
deformations.
Deformation of plex structure of Riemann surfaces is an idea
which goes back to Riemann who, in his famous memoir on Abelian
functions published in 1857, calculated the number of effective parameters
on which the deformation depends. Since the publication of Riemann's
memoir, questions