8 citations · 21 across the 8 of their papers we have counts for
10 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…
Monomialization of a quasianalytic morphism
André Belotto da Silva, Edward Bierstone
We prove a monomialization theorem for mappings in general classes of infinitely differentiable functions that are called quasianalytic. Examples include Denjoy-Carleman classes, t…
Inner geometry of complex surfaces: a valuative approach
André Belotto da Silva, Lorenzo Fantini, Anne Pichon
Given a complex analytic germ in , the standard Hermitian metric of induces a natural arc-length metric on , called the inner metri…
Resolution of singularities of the cotangent sheaf of a singular variety
Andre Belotto da Silva, Edward Bierstone, Vincent Grandjean +1
The main problem studied is resolution of singularities of the cotangent sheaf of a complex- or real-analytic variety Y (or of an algebraic variety Y over a field of characteristic…
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…