Extension of Analytic Objects
Section 1 deals with the extension of coherent quotient sheaves into q-concave boundaries. The old notion of gap sheaf is essential here. The end of § 1 and the beginning of § 2 is devoted to the theorems of Remmert and Stein for the extension of analytic
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Editor-in-Chief: R. V. Gamkrelidze
Ho Grauert Tho Petemell Ro Remmert (Edso) 0
0
Several Complex Variables VII Sheaf-Theoretical Methods in Complex Analysis
Springer-Verlag Berlin Heidelberg GmbH
Consulting Editors of the Series: AA Agrachev, AA Gonchar, E.F. Mishchenko, N. M. Ostianu, V. P. Sakharova, A B. Zhishchenko
Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, VoI. 74, Publisher VINITI, Moscow (in preparation)
Mathematics Subject Classification (1991):
32-02,32Axx, 32Cxx, 32C35, 32FI0, 32F15,32S20, 32S45,32Jxx,55N30
ISBN 978-3-642-08150-7
Library of Congress Cataloging-in-Publication Data Kompleksnyl analiz-mnogie peremennye 7. English Several complex variables VII: sheaf-theoretical methods in complex analysis / H. Grauert, Th. Petenell, R. Remmert (eds.). p. cm. - (Encyclopaedia of mathematical sciences; v. 74) Includes bibliographical references and indexes. ISBN 978-3-642-08150-7 ISBN 978-3-662-09873-8 (eBook) DOI 10.1007/978-3-662-09873-8 1. Functions of several complex variables. 2. Sheaf theory. 1. Grauert, Hans, 1930- . II. Peternell, Th. (Thomas), 1954- . III. Remmert, Reinhold. IV. Title. V. Title: Several complex variables 7. VI. Series. QA33I.7.K6813 1994 515'.94-dc20 93-32959 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 illustrations, 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 1994
Originally published by Springer-Verlag Berlin Heidelberg New York in 1994 Softcover reprint of the hardcover 1st edition 1994 Typesetting: Asco Trade Typesetting Ltd., Hong Kong 4113140/SPS - 5 4 3 2 I O - Printed on acid-free paper
List of Editors and Authors Editor-in-Chief R. V. Gamkrelidze, Russian Academy of Sciences, Steklov Mathematical Institute, ul. Vavilova 42, 117966 Moscow, Institute for Scientific Information (VINITI), ul. Usievicha 20a, 125219 Moscow, Russia
Consulting Editors H. Grauert, Mathematisches Institut, Universitat Gi:ittingen, Bunsenstr. 3-5, 37073 Gi:ittingen, FRG Th. Petemell, Mathematisches Institut, Universitat Bayreuth, Universitatsstr. 30, 95440 Bayreuth, FRG R. Remmert, Mathematisches Institut, Universitat MUnster, Einsteinstr. 62, 48149 MUnster, FRG
Authors F. Campana, Departement de Mathematiques, Universite Nancy I, BP 239, 54506 Vandoeuvre-Ies-Nancy Cedex, France G. Dethloff, Mathematisches Institut, Universitat Gi:ittingen, Bunsenstr. 3-5, 37073 Gi:ittingen, FRG H. Grauert, Mathematisches Institut, Universitat Gottingen, Bunsenstr. 3-5, 37073 Gi:ittingen, FRG
