paper

Finite determinacy and stability of flatness of analytic mappings

arXiv:1407.0229 · doi:10.4153/CJM-2016-008-0

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.

arXiv comment16 pages

References in corpus (2)