10 citations · 11 across the 9 of their papers we have counts for
10 papers
A reduction theorem for Lê's conjecture
Pablo Portilla Cuadrado
Let be a holomorphic map germ admitting an injective representative. We prove that if , th…
Real morsifications via the trace map
Pablo Portilla Cuadrado
We prove that every reduced real plane curve singularity admits a real morsification. This settles a question of A'Campo and Gusein-Zade, later stated as conjectures by Leviant--Sh…
On the integral variation map of isolated plane curves singularities
Pablo Portilla Cuadrado, Baldur Sigurðsson
The integral variation map and algebraic monodromy of isolated plane curve singularities are important homological invariants of the singularity which are still far from being comp…
Vanishing arcs for isolated plane curve singularities
Hanwool Bae, Cheol-Hyun Cho, Dongwook Choa +2
The variation operator associated with an isolated hypersurface singularity is a classical topological invariant that relates relative and absolute homologies of the Milnor fiber v…
Plane curve singularities via divides
Norbert A'Campo, Pablo Portilla Cuadrado
Generic relative immersions of compact one-manifolds in the closed unit disk, i.e. divides, provide a powerful combinatorial framework, and allow a topological construction of fibe…
The total spine of the Milnor fibration of a plane curve singularity
Pablo Portilla Cuadrado, Baldur Sigurðsson
For any plane curve singularity defined by an analytic function germ , we construct a spine on each Milnor fiber simultaneously, that realizes the vanishing topology. In order t…
Vanishing cycles, plane curve singularities, and framed mapping class groups
Pablo Portilla Cuadrado, Nick Salter
Let f be an isolated plane curve singularity with Milnor fiber of genus at least 5. For all such f, we give (a) an intrinsic description of the geometric monodromy group that does…
Positive factorizations of pseudoperiodic homeomorphisms
Pablo Portilla Cuadrado
We generalize a classical result concerning smooth germs of surfaces, by proving that monodromies on links of isolated complex surface singularities associated with reduced holomor…
General tête-à-tête graphs and Seifert manifolds
Pablo Portilla Cuadrado
Tête-à-tête graphs and relative tête-à-tête graphs were introduced by N. A'Campo in 2010 to model monodromies of isolated plane curves. By recent workof Fdez de Bobadilla, Pe Perei…
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…