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Finite Determinacy and Stability of Flatnessof Analytic Mappings

Published online by Cambridge University Press:  20 November 2018

Janusz Adamus  and
Hadi Seyedinejad
Janusz Adamus
Affiliation:
Department of Mathematics, The University of Western Ontario, London, ON, N6A and 5B7 Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8,00-956 Warsaw, poland e-mail: jadamus@uwo.ca
Hadi Seyedinejad
Affiliation:
Department of Mathematical Sciences, University of Kashan, Iran e-mail: sseyedin@alumni.uwo.ca
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Abstract

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It is proved that flatness of an analytic mapping germ from a complete intersection is determined by its sufficiently high jet. As a consequence, one obtains finite determinacy of complete intersections. It is also shown that flatness and openness are stable under deformations.

Keywords

58K4052K2532S0558K2032S3032B9932C0513B40finite determinacystabilityflatnessopennesscomplete intersection
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 69 , Issue 2 , 01 April 2017 , pp. 241 - 257
Copyright
Copyright © Canadian Mathematical Society 2017

References

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