4 citations · 8 across the 4 of their papers we have counts for
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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…
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…