Topological Methods in Algebraic Geometry Reprint of the 1978 Editio

In recent years new topological methods, especially the theory of sheaves founded by J. LERAY, have been applied successfully to algebraic geometry and to the theory of functions of several complex variables. H. CARTAN and J. -P. SERRE have shown how fund

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Friedrich Hirzebruch

Topological Methods in Algebraic Geometry Reprint of the 1978 Edition

Springer

Friedrich Hirzebruch Max-Planck-Institut fUr Mathematik

Gottfried -Claren-StraBe 26 53225 Bonn

Germany

Originally published as Vol. 131 of the

Grundlehren der mathematischen Wissenschaften

Mathematics Subject Classification (1991): 14-02, 14C20, 14C30, 14FXX, 14MXX,32-02,32J25,32J99J32lJ(K,32~10,55~XX,55RJ(K,57RJ(K

ISBN-13: 978-90-277-1045-1 DOl: 10.1007/978-94-009-8964-1

e-ISBN-13: 978-94-009-8964-1

eIP data applied for 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 illustration. 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 provision of the German Copyright Law of September 9. 1965. in its current version. and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer-Verlag is a part of Springer Science+ Business Media springeronline.com @ Springer-Verlag Berlin Heidelberg 1995 Softcover reprint of the hardcover I st edition 1995 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.

SPIN 10971048

4113111 - 54 3 21 - Printed on acid-free paper

F. Hirzebruch

Topological Methods in Algebraic Geometry Translation and Appendix One by R. L. E. Schwarzenberger Appendix Two by A. Borel

Second, Corrected Printing of the Third Edition

Springer-Verlag Berlin Heidelberg New York 1978

Friedrich Hirzebruch Mathematisches Institut der Universitat Bonn WegelerstraBe 10 5300 Bonn/West Germany Translator: R. L. E. Schwarzenberger Mathematics Institute, University of Warwick, Coventry CV4 7AL/England

Translation of "Neue topologische Methoden in der algebraischen Geometrie" (Ergebnisse der Mathematik und ihrer Grenzgebiete, Heft 9, 2. Auflage 1962)

AMS Subject Classification (1970): 14-02, 14C20, 14C30, 14Fxx, 14Mxx, 32-02, 32J25, 32J99, 32Lxx, 32NI0, 55Bxx, 55Fxx, 57Dxx

ISBN 3-540-03525-7 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-03525-7 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 ofthe fee to be determined by agreement with the publisher.

© by Springer-Verlag Berlin Heidelberg 1956, 1962, 1966 and 1978. Printed in Germany. Printing: Be