Geodesic
Finite Determinacy and Stability of Flatnessof Analytic Mappings
Canadian journal of mathematics, Tome 69 (2017) no. 2, pp. 241-257

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DOI

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.
DOI : 10.4153/CJM-2016-008-0
Mots-clés : 58K40, 52K25, 32S05, 58K20, 32S30, 32B99, 32C05, 13B40, finite determinacy, stability, flatness, openness, complete intersection 
Adamus, Janusz; Seyedinejad, Hadi. Finite Determinacy and Stability of Flatnessof Analytic Mappings. Canadian journal of mathematics, Tome 69 (2017) no. 2, pp. 241-257. doi: 10.4153/CJM-2016-008-0
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     title = {Finite {Determinacy} and {Stability} of {Flatnessof} {Analytic} {Mappings}},
     journal = {Canadian journal of mathematics},
     pages = {241--257},
     year = {2017},
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     doi = {10.4153/CJM-2016-008-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-008-0/}
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