12 citations · 19 across the 11 of their papers we have counts for
12 papers
Topological invariants and Milnor fibre for -finite germs
J. Fernández de Bobadilla, G. Peñafort, E. Sampaio
This note is the observation that a simple combination of known results shows that the usual analytic invariants of a finitely determined multi-germ $f\colon (\mathbb{C}^2,S)\to(\m…
Moderately Discontinuous Homology
Javier Fernandez de Bobadilla, Sonja Heinze, Maria Pe Pereira +1
We introduce a new metric homology theory, Moderately Discontinuous Homology, which captures Lipschitz properties of metric subanalytic germs. The main novelty is to allow "moderat…
Reflexive modules on normal Gorenstein Stein surfaces, their deformations and moduli
Javier Fernandez de Bobadilla, Agustin Romano Velazquez
In this paper we generalize Artin-Verdier, Esnault and Wunram construction of McKay correspondence to arbitrary Gorenstein surface singularities. The key idea is the definition and…
The Nash problem from a geometric and topological perspective
Javier Fernández de Bobadilla, Marıa Pe Pereira
We survey the proof of the Nash conjecture for surfaces and show how geometric and topological ideas developed in previous articles by the authors influenced it. Later we summarize…
Nash problem for surfaces
Javier Fernandez de Bobadilla, Maria Pe Pereira
We prove that Nash mapping is bijective for any algebraic surface defined over an algebraically closed field of characteristic 0.
Nash problem for surface singularities is a topological problem
Javier Fernandez de Bobadilla
We address Nash problem for surface singularities using wedges. We give a refinement of the characterisation of A. Reguera of the image of the Nash map in terms of wedges. Our impr…