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20062025
most citedUltrastrong plasmon-phonon coupling via epsilon-near-zero nanocavities

138 citations

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6 papers · 1 filter

math.AG2019★ 5 cited

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…

math.AG2018

Coverings of rational ruled normal surfaces

Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín, Jorge Martín-Morales

In this work we use arithmetic, geometric, and combinatorial techniques to compute the cohomology of Weil divisors of a special class of normal surfaces, the so-called rational rul…

math.AG2017★ 2 cited

Wirtinger curves, Artin groups, and hypocycloids

Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín, Jorge Martín-Morales

The computation of the fundamental group of the complement of an algebraic plane curve has been theoretically solved since Zariski-van Kampen, but actual computations are usually c…

math.AG2012★ 5 cited

Kummer covers and braid monodromy

Enrique Artal Bartolo, Jose I. Cogolludo-Agustin, Jorge Ortigas-Galindo

In this work we describe a method to reconstruct the braid monodromy of the preimage of a curve by a Kummer cover. This method is interesting, since it combines two techniques, nam…

math.AG2012★ 5 cited

Computation-free presentation of the fundamental group of generic -torus curves

Enrique Artal Bartolo, Jose I. Cogolludo-Agustin, Jorge Ortigas-Galindo

In this note, we present a new method for computing fundamental groups of curve complements using a variation of the Zariski-Van Kampen method on general ruled surfaces. As an appl…

math.AG2011★ 20 cited

Cartier and Weil Divisors on Varieties with Quotient Singularities

Enrique Artal Bartolo, Jorge Martín-Morales, Jorge Ortigas-Galindo

The main goal of this paper is to show that the notions of Weil and Cartier -divisors coincide for -manifolds and give a procedure to express a rational Weil divisor…