activity
20052024
most citedMultiplicity and degree as bi-Lipschitz invariants for complex sets

12 citations · 19 across the 4 of their papers we have counts for

collaborators

5 papers

math.AG2024

Constant coefficient and intersection complex -classes of projective varieties

Javier Fernández de Bobadilla, Irma Pallarés, Morihiko Saito

For a projective variety , we have the intersection complex -classes defined by Goresky-MacPerson using cohomotopy and also the constant coefficient -class $L^c_*…

math.AG2022

On the embedded Nash problem

Nero Budur, Javier de la Bodega, Eduardo de Lorenzo Poza +2

The embedded Nash problem for a hypersurface in a smooth algebraic variety, is to characterize geometrically the maximal irreducible families of arcs with fixed order of contact al…

math.AG2022★ 3 cited

Symplectic monodromy at radius zero and equimultiplicity of -constant families

Javier Fernández de Bobadilla, Tomasz Pełka

We show that every family of isolated hypersurface singularity with constant Milnor number has constant multiplicity. To achieve this, we endow the A'Campo model of "radius zero" m…

math.AG2017★ 12 cited

Multiplicity and degree as bi-Lipschitz invariants for complex sets

Javier Fernández de Bobadilla, Alexandre Fernandes, J. Edson Sampaio

We study invariance of multiplicity of complex analytic germs and degree of complex affine sets under outer bi-Lipschitz transformations (outer bi-Lipschitz homeomorphims of germs…

math.CV2005★ 4 cited

The Lê numbers of the square of a function and their applications

Javier Fernández de Bobadilla, Terence Gaffney

Lê numbers were introduced by Massey with the purpose of numerically controlling the topological properties of families of non-isolated hypersurface singularities and describing th…