4 papers · 1 filter
Lipschitz saturation of toric singularities in any dimension
François Bernard, Enrique Chávez-Martínez, Arturo E. Giles Flores
We describe the semigroup of the Lipschitz saturation of a complex analytic toric singularity in arbitrary dimension. We give a necessary and sufficient condition for a monomial in…
On the Lipschitz saturation of toric singularities
Daniel Duarte, Arturo E. Giles Flores
We begin the study of Lipschitz saturation for germs of toric singularities. By looking at their associated analytic algebras, we prove that if (X,0) is a germ of toric singularity…
On the fifth Whitney cone of a complex analytic curve
Arturo Giles Flores, Otoniel Nogueira da Silva, Jawad Snoussi
From a procedure to calculate the -cone of a reduced complex analytic curve at a singular point , we extract a collection of integers that we…
Specialization to the tangent cone and Whitney Equisingularity
Arturo Giles Flores
Let (X,0) be a reduced, equidimensional germ of analytic singularity with reduced tangent cone (C_{X,0},0). We prove that the absence of exceptional cones is a necessary and suffic…