Complex Analysis and Geometry International Conference in Honor of P

This meeting has been motivated by two events: the 85th birthday of Pierre Lelong, and the end of the third year of the European network "Complex analysis and analytic geometry" from the programme Human Capital and Mobility. For the first event, Mathemati

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Series Editors H. Bass J. Oesterle A. Weinstein

Complex Analysis and Geometry International Conference in Honor of Pierre Lelong P. Dolbeault A. Iordan G.Henkin H. Skoda J.-M. Trepreau Editors

Springer Basel AG

Editors: Institut de Mathematiques de Jussieu Universite Pierre et Marie Curie Case 247 4, place Jussieu Cedex 05 75252 Paris Cedex 05 France

2000 Mathematics Subject Classification 32U05, 32A25, 32L20, 37KIO, 37F50

A CIP catalogue record for this book is available from the Library of Congress, Washington D.C., USA Deutsche Bibliothek Cataloging-in-Publication Data Complex analysis and geometry / International Conference in Honor of Pierre Lelong. Birkhăuser, 2000 (Progress in mathematics ; VoI. 188)

P. Dolbeault ... ed.. - Basel ; Boston; Berlin:

ISBN 978-3-0348-9566-8 ISBN 978-3-0348-8436-5 (eBook) DOI 10.1007/978-3-0348-8436-5 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, re-use of illustrations, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use whatsoever, permission from the copyright owner must be obtained. © 2000 Springer Basel AG Originally published by Birkhauser Verlag, Basel 2000

Printed on acid-free paper produced of chlorine-free pulp. TCF ro 987654321

Foreword This meeting has been motivated by two events: the 85th birthday of Pierre Lelong, and the end of the third year of the European network "Complex analysis and analytic geometry" from the programme Human Capital and Mobility. For the first event, Mathematicians from Poland, Sweden, United States and France, whose work is particularly related to the one ofP. Lelong have accepted to participate; for the second, the different teams of the Network sent lecturers to report on their most recent works. These teams are from Grenoble, Wuppertal, Berlin, Pisa and Paris VI; in fact, most of their results are also related to Lelong's work and, a posteriori, it is difficult to decide whether a talk is motivated by the first or by the second event. We chose only plenary lectures, usually of one hour, except a small number, given by young mathematicians, which have been shorter. A two hours problem session has been organized. The Proceedings gather papers which are exact texts of the talks, or are closely related to them. The members from the Network and five other lecturers sent us papers; the other lecturers published the content of their talks in mathematical Journals. All the presented texts have been submitted to referees independent of the organizing committee; the texts of the problems have been approved by their authors. We heartily thank the lecturers and the participants in the meeting. We also thank the institutions sponsoring the conference: the Institut de Mathematiques de Jussieu CC.N.R.S. and Universite Pierre etMarie Curie), especially the project "Analyse complexe", the European Commission, and the Institut Henri Poincare for its hospitality. Finally,