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math.CV2020
A proof of A. Gabrielov's rank Theorem
André Belotto da Silva, Octave Curmi, Guillaume Rond
This article contains a complete proof of Gabrielov's rank Theorem, a fundamental result in the study of analytic map germs. Inspired by the works of Gabrielov and Tougeron, we dev…
math.CV2014★ 6 cited
Local Resolution of Ideals Subordinated to a Foliation
André Belotto da Silva
Let be a complex- or real-analytic manifold, be a singular distribution and a coherent ideal sheaf defined on . We prove the existence of a local resolutio…