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arXiv · 1407.0229

Finite determinacy and stability of flatness of analytic mappings

Janusz Adamus·Hadi Seyedinejad
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Abstract

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.

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Janusz Adamus, Hadi Seyedinejad. 2014-07-01. Finite determinacy and stability of flatness of analytic mappings. https://doi.org/10.4153/cjm-2016-008-0

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