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Infinite determinacy on a closed set for smooth germs with non-isolated singularities
Author:
Vincent Thilliez
Journal:
Proc. Amer. Math. Soc. 134 (2006), 1527-1536
MSC (2000):
Primary 58K40
Posted:
October 13, 2005
MathSciNet review:
2199202
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Abstract: We give necessary and sufficient conditions for infinite determinacy of a smooth function germ whose critical locus contains a given set. This set is assumed to be the zero variety  of some analytic map-germ having maximal rank on a dense subset of  . We obtain a result in terms of  ojasiewicz estimates which extends, in particular, previous works by Sun and Wilson on line singularities, and by Grandjean on singularities of codimension  or  .
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Additional Information
Vincent Thilliez
Affiliation:
Mathématiques - Bâtiment M2, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d'Ascq Cedex, France
Email:
thilliez@math.univ-lille1.fr
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08253-5
PII:
S 0002-9939(05)08253-5
Received by editor(s):
December 13, 2004
Posted:
October 13, 2005
Communicated by:
Mei-Chi Shaw
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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