3 papers
math.AG2021
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…
math.CV2019
On tangency in equisingular families of curves and surfaces
Arturo Giles Flores, Otoniel Nogueira da Silva, Jawad Snoussi
We study the behavior of limits of tangents in topologically equivalent spaces. In the context of families of generically reduced curves, we introduce the -invariant of a curve…
math.AG2011
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…