Algebraic Geometry III Complex Algebraic Varieties Algebraic Curves
The first contribution of this EMS volume on the subject of complex algebraic geometry touches upon many of the central problems in this vast and very active area of current research. While it is much too short to provide complete coverage of this subject
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Editor-in-Chief: R. V. Gamkrelidze
Springer-Verlag Berlin Heidelberg GmbH
A. N. Parshin I. R. Shafarevich (Eds.)
Algebraic Geometry III Complex Algebraic Varieties Algebraic Curves and Their J acobians
Springer
Consulting Editors of the Series: A.A. Agrachev, A.A. Gonchar, E.F. Mishchenko, N. M. Ostianu, V. P. Sakharova, A. B. Zhishchenko
Title of the Russian original edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, VoI. 36, Algebraicheskaya Geometriya-3 Publisher VINITI, Moscow 1989
Mathematics Subject Classification (1991): 14-02, l4C20, 14C2l, l4C30, l4C34, 14D05, 14D07, 14D20, 14D22, 14F35, 32G20, 14H42, 14H45 ISSN 0938-0396 ISBN 978-3-642-08118-7 ISBN 978-3-662-03662-4 (eBook) DOI 10.1007/978-3-662-03662-4 This work is subject to copyright. AII rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of iIIustrations, 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-Verlag Berlin Heidelberg GmbH. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1998 Originally published by Springer-Verlag Berlin Heidelberg New York in 1998 Softcover reprint of the hardcover 1st edition 1998
Typesetting: Camera-ready copy produced from the translator's input files using a Springer TEX macro package. Typesetting of diagrams by the translator using Paul Taylor's macros Commutative Diagrams in TeX. SPIN 10015170 4113143 - 543210 - Printed on acid-free paper
List of Editors, Authors and Translators Editor-in-Chief
R. V. Gamkrelidze, Russian Academy of Sciences, Steklov Mathematical Institute, ul. Gubkina 8, 117966 Moscow; Institute for Scientific Information (VINITI), ul. Usievicha 20a, 125219 Moscow, Russia; e-mail: [email protected] Consulting Editors A. N. Parshin, I. R. Shafarevich, Steklov Mathematical Institute, ul. Gubkina 8,
117966 Moscow, Russia
Authors
Viktor S. Kulikov, Chair of Applied Mathematics II, Moscow State University of Transport Communications (MilT), ul. Obraztcova 15, 101475 Moscow, Russia; e-mail: [email protected] and [email protected] P.F. Kurchanov, Chair of Applied Mathematics II, Moscow State University of Transport Communications (MilT), ul. Obraztcova 15, 101475 Moscow, Russia V.V. Shokurov, Department of Mathematics, The Johns Hopkins University, Baltimore, MA 21218-2689, USA; e-mail: [email protected] Translator I. Rivin, Mathematics Institute, University of Warwick, Coventry CV4 7AL,
United Kingdom, e-mail: [email protected]; Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA, e-mail: [email protected]
Contents I. Complex Algebraic Varieties: Periods of Integrals and Hodge St
