E D I T O R I A L C O M M I T T E E
Steven G. Krantz
David Saltman (Chair)
2000 Mathematics Subject Classification. Primary 13Hxx, 14B05, 14J17, 14E15, 32Sxx.
For additional information and updates on this book, visit
Library of Congress Cataloging-in-Publication Data
Cutkosky, Steven Dale.
Resolution of singularities / Steven Dale Cutkosky.
p. cm.- (Graduate studies in mathematics, ISSN 1065-7339; v. 63)
Includes bibliographical references and index.
ISBN 0-8218-3555-6 (acid-free paper)
1. Singularities (Mathematics). I. Title. II. Series.
Copying and reprinting. Material in this book may be reproduced by any means for edu-
cational and scientific purposes without fee or permission with the exception of reproduction by
services that collect fees for delivery of documents and provided that the customary acknowledg-
ment of the source is given. This consent does not extend to other kinds of copying for general
distribution, for advertising or promotional purposes, or for resale. Requests for permission for
commercial use of material should be addressed to the Acquisitions Department, American Math-
ematical Society, 201 Charles Street, Providence, Rhode Island 02904-2294, USA. Requests can
also be made by e-mail to firstname.lastname@example.org.
Excluded from these provisions is material in articles for which the author holds copyright. In
such cases, requests for permission to use or reprint should be addressed directly to the author(s).
(Copyright ownership is indicated in the notice in the lower right-hand corner of the first page of
© 2004 by the author. All rights reserved.
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 h t t p : //www. ams. org/
10 9 8 7 6 5 4 3 2 1 09 08 07 06 05 04