8 citations · 21 across the 8 of their papers we have counts for
8 papers · 1 filter
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…
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…