8 citations · 19 across the 8 of their papers we have counts for
10 papers
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…
Irreducibility of analytic arc-sections of hypersurface singularities
Miguel Angel Marco-Buzunariz, Maria Pe Pereira
We explore the existence of irreducible and reducible arc-sections in an irreducible hypersurface singularity germ along finite projections. In particular we provide examples of ir…
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…
Tête-à-tête twists, monodromies and representation of elements of Mapping Class Group
Norbert A'Campo, Javier Fernandez de Bobadilla, Maria Pe Pereira +1
We study monodromies of plane curve singularities and pseudo-periodic homeomorphisms of oriented surfaces with boundary, following an original idea of the first author: tête-à-tête…
On the generalized Nash problem for smooth germs and adjacencies of curve singularities
Javier Fernandez de Bobadilla, Maria Pe Pereira, Patrick Popescu-Pampu
In this paper we explore the generalized Nash problem for arcs on a germ of smooth surface: given two prime divisors above its special point, to determine whether the arc space of…
Fibonacci numbers and self-dual lattice structures for plane branches
Maria Pe Pereira, Patrick Popescu-Pampu
Consider a plane branch, that is, an irreducible germ of curve on a smooth complex analytic surface. We define its blow-up complexity as the number of blow-ups of points necessary…