Algebraic Geometry Proceedings of the Japan-France Conference held a
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1016 Algebraic Geometry Proceedings of the Japan-France Conference held at Tokyo and Kyoto, October 5-14,1982
Edited by M. Raynaud and T. Shioda
Springer-Verlag Berlin Heidelberg New York Tokyo 1983
Editors Michel Raynaud Universite de Paris-Sud, Mathematique, Batirnent 425 Centre d'Orsay, 91405 Orsay Cedex, France
Tetsuj Shioda University of Tokyo Department of Mathematics, Faculty of Science Hongo, Tokyo, Japan
AMS Subject Classifications (1980): 14-06 ISBN 3-540-12685-6 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12685-6 Springer-Verlag New York Heidelberg Berlin Tokyo 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 § 64 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.
© by Springer-Verlag Berlin Heidelberg 1983 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-643210
Preface
The Japan-France Conferenc0 in Algebraic Geometry was held in Tokyo and Kyoto from October 5 to 14, 1982. The main theme of the conference centered around the following topics: 1) 2) 3) 4) 5)
p-adic methods in algebraic geometry and arithmetic vanishing cycle sheaves and algebraic cycles and transcendental cycles desingularization curves, surfaces, threefolds, ...
This volume contains most of the lectures given at the confersome with further developments. Most contributions are original papers, while some provide surveys on the recent developments of the subjects. We believe that the present volume will be of use to those who are interested in the various aspects of current research in Algebraic Geometry. This conference took place in the framework of the third FrenchJapanese Scientific Symposium organized by the Maison Franco-Japonaise and held every third year since 1976 alternately in Japan and in France on a set of selected fields. It was supported by the Centre National de la Recherche Scientifique, the Japan Society for the Promotion of Science and the Research Institute for Mathematical Sciences, Kyoto University. It benefited also from the Grant-in-Aid for Scientific Research, the Ministry of Education. We would like to express our gratitude to all of these institutions. It is our great pleasure to thank all the speakers and participants who made this conference successful. Also, we would like to thank all those people who helped us in preparing the conference. In particular, we thank Professor S. Iyanaga for suggesting us to plan this conference and giving us various advice and encouragement. We also thank Mrs. A. Hatori for her nice work in supervising secretarial job for the conference. Moreover, special thanks are due to our colleagues M. Maruyama, M. Miyanishi and T. Oda who helped us very much in organizing the conference as well as in e