Compact Complex Surfaces
Contents: Introduction. - Standard Notations. - Preliminaries. - Curves on Surfaces. - Mappings of Surfaces. - Some General Properties of Surfaces. - Examples. - The Enriques-Kodaira Classification. - Surfaces of General Type. - K3-Surfaces and Enriques S
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Editorial Board E. Bombieri, Princeton S. Feferman, Stanford N. H. Kuiper, Bures-sur-Yvette P. Lax, NewYork R Remmert (Managing Editor), Munster W. Schmid, Cambridge, Mass. J-P. Serre, Paris 1. Tits, Paris
W Barth C. Peters A Van de Ven
Compact Complex Surfaces
Springer-Verlag Berlin Heidelberg New York Tokyo 1984
W. Barth Mathematisches Institut Universitiit Erlangen-Niirnberg BismarckstraBe 11/ 2 , D-8520 Erlangen C. Peters A. Van deVen Mathematisch Instituut, Rijksuniversiteit Leiden Wassenaarseweg 80, NL-Leiden
AMS Subject Classification (1980): 14C30, 14Dxx, 14Jxx, 14J15, 32Gxx, 32J15, 32125, 53C15, 53C55
ISBN-13: 978-3-642-96756-6 e-ISBN-13: 978-3-642-96754-2 DOl: 10.1007/978-3-642-96754-2
Library of Congress Cataloging in Publication Data Barth, Wolf. Compact complex surfaces. (Ergebnisse der Matbematik und ihrer Grenzgebiete; 3. Folge, Bd. 4) Bibliography: p. Includes index. I. Surfaces, Algebraic. 2. Complex manifolds. I. Ven, A. Van de (Antonius) II. Peters, C. A. M. (Chris A. M.) III. Title. IV. Series. QA57l.B37 1984 516.3'5 84-1421 ISBN-13: 978-3-642-96756-6 (U.S.) 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 tbe German Copyright Law where copies are made for other than private use a fee is payable to "Verwertungsgesellschaft Wort", Munich. © Springer-Verlag Berlin Heidelberg 1984 Softcover reprint of the hardcover lst editioon 1984
2141/3140-543210
Preface
Par une belle matinee du mois de mai, une eJegante amazone parcourait, sur une superbe jument alezane, les allees fleuries du Bois de Boulogne. (A. Camus, La Peste)
Early versions of parts of this work date back to the mid-sixties, when the third author started to write a book on surfaces. But for several reasons, in particular the appearance of Safarevic's book, he postponed the project. It was revived about ten years later, when all three authors were in Leiden. I t is impossible to cover in one book the vast and rapidly developing theory of surfaces. Choices have to be made, with respect to content as well as to presentation. We have chosen for a complex-analytic point of view; this distinguishes our text from most of the existing treatments. Relations with the case of characteristic p are not discussed. We hope to have succeeded in writing a readable book; a book that can be used by non-specialists. The specialist will find very little that is new to him anyhow. As to acknowledgements, the authors certainly have to mention the Koninklijke Shellprijs, awarded to the third author in 1964. The numerous contacts with colleagues from other countries made possible by that award have had a very favourable influence on this book. Our thanks are furthermore due to G. Angermiiller, G. Barthel, G. Fischer, G. van der Geer, N. Hitchin, D. Husemoller, M. Reid, T.A. Springer, D. Zagier and S. Zuck
