Prospects in Complex Geometry Proceedings of the 25th Taniguchi Inte
In the Teichmüller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years. Thus the central subject of "Complex Structure" wa
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J. Noguchi
T. Ohsawa (Eds.)
Prospects in Complex Geometry Proceedings of the 25th Taniguchi International Symposium held in Katata, and the Conference held in Kyoto, July 31-August 9,1989
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Editors Junjiro Noguchi Department of Mathematics Tokyo Institute of Technology Ohokayama Meguro, Tokyo 152, Japan Takeo Ohsawa Department of Mathematics Faculty of Science Nagoya University Furocho, Chigusaku, Nagoya 464-01, Japan
Mathematics Subject Classification (1985): 32CIO, 32G13, 32G15, 58E20, 14020
ISBN 3-540-54053-9 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-54053-9 Springer-Verlag New York Berlin Heidelberg 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, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9,1965, in its current version, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1991 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210 - Printed on acid-free paper
Preface
The 25th Taniguchi International Symposium, Division of Mathematics, titled with "Prospects in Complex Geometry" was held at Kyuzeso, Katata, July 31 through August 5, 1989, and an international conference with the same title was held successively at Research Institute for Mathematical Sciences (RIMS), Kyoto University, Kyoto, August 7 through August 9. The present volume consists of papers based on talks given at the two meetings. The central subject was complex structure and the emphasis was put on geometric aspects. The topics of the papers range therefore over various materials from complex function theory in one variable to differential geometry and algebraic geometry; e.g., the Teichmiiller theory, the deformation theory of special complex manifolds, the moduli theory of holomorphic and harmonic mappings, and the cohomology theory on algebraic varieties. The International Symposium at Kyuzeso, Katata, was fully and generously supported by the Taniguchi Foundation. The international conference at RIMS, Kyoto University was jointly supported by RIMS and the Taniguchi Founda.tion. The organizers wish to express their deepest gratitude to Mr. Taniguchi and the Taniguchi Foundation for supporting the two meetings and their warm hospitality, and to RIMS for supporting the second meeting. They are also very grateful to Professor S. Mura.kami for serving the Taniguchi International Symposium as coordinator, and last but not least to all the participants, speakers and the contributors of this volume. All papers of this volume are in final form and no similar version will be publishe
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