Lecture Notes in Mathematics Editors: J.--M. Morel doc

Lecture Notes in Mathematics 1811
Editors:
J M. Morel, Cachan
F. Takens, Groningen
B. Teissier, Paris
3
Berlin
Heidelberg
New York
Hong Kong
London
Milan
Paris
Tokyo
Jan Stevens
Deformations
of Singularities
13
Author
Jan Stevens
Matematik
G
¨
oteborgs Universitet
Chalmers Tekniska H
¨
ogskola
41296 G
¨
oteborg, Sweden
e-mail:

Cataloging-in-Publication Data applied for
Bibliographic information published by Die Deutsche Bibliothek
Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie;
detailed bibliographic data is available in the Internet at
Mathematics Subject Classification (2000):
32S05, 32S25, 32S30, 14B05, 14B07, 14B12, 14H20
ISSN 0075-8434
ISBN 3-540-00560-9 Springer-Verlag Berlin Heidelberg New York
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is
concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting,
reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublication
orpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9, 1965,
in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are
liable for prosecution under the German Copyright Law.
Springer-Verlag Berlin Heidelberg New York a member of BertelsmannSpringer
Science + Business Media GmbH

c
 Springer-Verlag Berlin Heidelberg 2003
PrintedinGermany
The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply,
even in the absence of a specific statement, that such names are exempt from the relevant protective laws
and regulations and therefore free for general use.
Typesetting: Camera-ready T
E
Xoutputbytheauthor
SPIN: 10910184 41/3142/du-543210 - Printed on acid-free paper

J. Stevens: LNM 1811, pp. 1–4, 2003.
c
 Springer-Verlag Berlin Heidelberg 2003
J. Stevens: LNM 1811, pp. 5–14, 2003.
c
 Springer-Verlag Berlin Heidelberg 2003
at infinity
hyperplane
t = 0
t = 1
J. Stevens: LNM 1811, pp. 15–22, 2003.
c
 Springer-Verlag Berlin Heidelberg 2003