4 citations · 8 across the 4 of their papers we have counts for
5 papers
On the Nash points of subanalytic sets
Andre Belotto da Silva, Octave Curmi, Guillaume Rond
Based on a recently developed rank Theorem for Eisenstein power series, we provide new proofs of the following two results of W. Pawlucki: I) The non regular locus of a complex or…
On rank Theorems for morphisms of local rings
André Belotto da Silva, Octave Curmi, Guillaume Rond
We prove a generalization of Gabrielov's rank theorem for families of rings of power series which we call W-temperate. Examples include the families of complex analytic functions a…
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…
Boundary of the Milnor fiber of a Newton non degenerate surface singularity
Octave Curmi
We give in this work an explicit combinatorial algorithm for the description of the Milnor fiber of a Newton non degenerate surface singularity as a graph manifold. This is based o…
Topology of smoothings of non-isolated singularities of complex surfaces
Octave Curmi
We prove that the boundaries of the Milnor fibers of smoothings of non-isolated reduced complex surface singularities are graph manifolds. Moreover, we give a method, inspired by p…