Compact Complex Surfaces
In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensational one concerns the differentiable structure of surfaces. Twenty years ago very little was kno
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A Series of Modern Surveys in Mathematics
Editorial Board S. Feferman, Stanford M. Gromov, Bures-sur-Yvette J. Jost, Leipzig J. Kollâr, Princeton H.W. Lenstra, Jr., Berkeley P.-L. Lions, Paris M. Rapoport, Koln J. Tits, Paris D.B. Zagier, Bonn G.M. Ziegler, Berlin
Managing Editor R. Remmert, Miinster
Volume 4
Springer-V erlag Berlin Heidelberg GmbH
Wolf P. Barth Klaus Hulek Chris A. M. Peters Antonius Van de Ven
Compact Complex Surfaces Second Enlarged Edition
Springer
Mathematics Subject Classification (2ooo ): 14B05, 14C3o, 14Eo5, 14E3o, 14F17, 14JI5, 14]17, 14]25, 14]26, 14]27, 14]28, 14]29, 32Go5, 32G13, 32]15, 32Q6o, 53D45, 57R57 ISBN 978-3-540-00832-3 ISBN 978-3-642-57739-0 (eBook) DOI 10.1007/978-3-642-57739-0 This work is subject to copyright. Ali 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 otherway, 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-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 2004
Softcover reprint of the hardcover 2nd edition 2004 Typeset by the authors using a Springer T]llC macro package. 44/3142LK- 5 4 3 2 1 o Printed on acid-free paper
Preface to the Second Edition
In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensational one concerns the differentiable structure of surfaces. Twenty years ago very little was known about differentiable structures on 4-manifolds, but in the meantime Donaldson on the one hand and Seiberg and Witten on the other hand, have found, inspired by gauge theory, totally new invariants. Strikingly, together with the theory explained in this book these invariants yield a wealth of new results about the differentiable structure of algebraic surfaces. Other developments include the systematic use of nef-divisors (in accordance with the progress made in the classification of higher dimensional algebraic varieties), a better understanding of Kahler structures on surfaces, and Reider's new approach to adjoint mappings. All these developments have been incorporated in the present edition, though the Donaldson and Seiberg-Witten theory only by way of examples. Of course we use the opportunity to correct some minor mistakes, which we ether have discovered ourselves or which were communicated to us by careful readers to whom we are much obliged. We gratefully acknowledge the support of various bodies which helped us prepare this new edition; in particular the following grants and institutions: EAGER (European Algebraic Geometry Research Netwo
