Editorial Boar d Steven G. Krantz David Salt man (Chair) David Sattinger Ronald Stern 2000 Mathematics Subject Classification. Primary 34-01, 14-01, 22-01, 43-01. ABSTRACT. A graduate text with an integrated treatment of several complex variables and complex algebraic geometry, with applications to the structure theory and representation theory of Lie groups. Library of Congress Cataloging-in-Publication Data Taylor, Joseph L., 1941- Several complex variables with connections to algebraic geometry and Lie groups / Joseph L. Taylor. p. cm. (Graduate studies in mathematics, ISSN 1065-7339 v. 46) Includes bibliographical references and index. ISBN 0-8218-3178-X (alk. paper) 1. Functions of several complex variables. 2. Geometry, Algebraic. I. Title. II. Series. QA331.7.T39 2002 515'.94—dc21 2002018346 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, P. O. Box 6248, Providence, Rhode Island 02940-6248. Requests can also be made by e-mail to reprint-permission@ams.org. © 2002 by the American Mathematical Society. All rights reserved. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. @ The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at URL: http://www.ams.org/ 10 9 8 7 6 5 4 3 2 1 07 06 05 04 03 02
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