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Search: MSC category 13B40 ( Etale and flat extensions; Henselization; Artin approximation [See also 13J15, 14B12, 14B25] )

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1. CJM 2016 (vol 69 pp. 241)

Adamus, Janusz; Seyedinejad, Hadi
Finite Determinacy and Stability of Flatness of Analytic Mappings
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:finite determinacy, stability, flatness, openness, complete intersection
Categories:58K40, 58K25, 32S05, 58K20, 32S30, 32B99, 32C05, 13B40

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