7 citations · 21 across the 11 of their papers we have counts for
11 papers
On the poles of zeta functions for finite morphisms between normal surfaces
Edwin León-Cardenal, Jorge Martín-Morales, Willem Veys +1
For a divisor representing a function and another divisor representing a differential form on a normal surface singularity, there is a notion of motivic and topological zeta functi…
The Milnor fiber boundary of an arrangement determines its combinatorics
Baldur Sigurðsson, Juan Viu-Sos
The boundary of the Milnor fiber associated with a complex line arrangement is a three dimensional plumbed manifold, and it is a combinatorial invariant. We prove the reverse impli…
Connectedness and combinatorial interplay in the moduli space of line arrangements
Benoît Guerville-Ballé, Juan Viu-Sos
This paper aims to undertake an exploration of the behavior of the moduli space of line arrangements while establishing its combinatorial interplay with the incidence structure of…
On the equality of periods of Kontsevich-Zagier
Jacky Cresson, Juan Viu-Sos
Effective periods were defined by Kontsevich and Zagier as complex numbers whose real and imaginary parts are values of absolutely convergent integrals of -rational fun…
Motivic Zeta Functions on $\mathds{Q}$-Gorenstein Varieties
Edwin León-Cardenal, Jorge Martín-Morales, Willem Veys +1
We study motivic zeta functions for $\mathds{Q}$-divisors in a $\mathds{Q}$-Gorenstein variety. By using a toric partial resolution of singularities we reduce this study to the loc…
Ineffectiveness of homotopical invariants on Nakanishi's 4-move conjecture
Benoît Guerville-Ballé, Juan Viu-Sos
A -move is a local operation for links consisting in replacing two parallel arcs by four half twists. At the present time, it is not known if this induces an unkotting operation…
Fundamental groups of real arrangements and torsion in the lower central series quotients
Enrique Artal Bartolo, Benoît Guerville-Ballé, Juan Viu-Sos
By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its intersection lattice, providing…
Configurations of points and topology of real line arrangements
Benoît Guerville-Ballé, Juan Viu-Sos
A central question in the study of line arrangements in the complex projective plane is: when does the combinatorial data of the arrangement determine its topologic…
A semi-canonical reduction for periods of Kontsevich-Zagier
Juan Viu-Sos
The -algebra of periods was introduced by Kontsevich and Zagier as complex numbers whose real and imaginary parts are values of absolutely convergent integr…
Combinatorics of line arrangements and dynamics of polynomial vector fields
Benoît Guerville-Ballé, Juan Viu-Sos
Let be a real line arrangement and the module of --derivations. First, we give a dynamical interpretation of $\mathcal{D}(\mat…
Combinatorics of line arrangements and polynomial vector fields
Benoît Guerville-Ballé, Juan Viu-Sos
Let be a real line arrangement and the module of -derivations view as the set of polynomial vector fields which possess $\math…