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Seeking invariants for blow-analytic equivalence

Published online by Cambridge University Press:  04 December 2007

TOSHIZUMI FUKUI
TOSHIZUMI FUKUI
Affiliation:
Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, 466 Japan Current address: Department of Mathematics, Faculty of Science, Saitama University, 255 Shimo-Okubo, Urawa, 338 Japan. e-mail: tfukui@rimath.saitama-u.ac.jp
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Abstract

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We introduce some blow-analytic invariants of real analytic function-germs and discuss their properties. As a consequence, we obtain, for instance, the multiplicity of function-germs is a blow-analytic invariant.

Keywords

real analytic function-germ blowing-upresolutionblow-analytic equivalence
Type
Research Article
Information
Compositio Mathematica , Volume 105 , Issue 1 , January 1997 , pp. 95 - 108
Copyright
© 1997 Kluwer Academic Publishers