Finite determinacy and stability of flatness of analytic mappings
Complex Variables
2019-08-15 v2 Commutative Algebra
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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Cite
@article{arxiv.1407.0229,
title = {Finite determinacy and stability of flatness of analytic mappings},
author = {Janusz Adamus and Hadi Seyedinejad},
journal= {arXiv preprint arXiv:1407.0229},
year = {2019}
}
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16 pages