2 citations · 2 across the 4 of their papers we have counts for
8 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…
Partial desingularization
André Belotto da Silva, Edward Bierstone, Ramon Ronzon Lavie
We address the following question of partial desingularization preserving normal crossings. Given an algebraic (or analytic) variety X in characteristic zero, can we find a finite…
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…
Polar exploration of complex surface germs
André Belotto da Silva, Lorenzo Fantini, András Némethi +1
We prove that the topological type of a normal surface singularity provides finite bounds for the multiplicity and polar multiplicity of , as well as for the combina…
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…
On Lipschitz Normally Embedded complex surface germs
André Belotto da Silva, Lorenzo Fantini, Anne Pichon
We undertake a systematic study of Lipschitz Normally Embedded normal complex surface germs. We prove in particular that the topological type of such a germ determines the combinat…