20 citations · 40 across the 15 of their papers we have counts for
14 papers · 1 filter
Normal surface singularities with an integral homology sphere link related to space monomial curves with a plane semigroup
Jorge Martín-Morales, Lena Vos
In this article, we consider an infinite family of normal surface singularities with an integral homology sphere link which is related to the family of space monomial curves with a…
Local invariants of minimal generic curves on rational surfaces
José Ignacio Cogolludo-Agustín, Tamás László, Jorge Martín-Morales +1
Let (C,0) be a reduced curve germ in a normal surface singularity (X,0). The main goal is to recover the delta invariant of the abstract curve (C,0) from the topology of the embedd…
Cyclic branched coverings of surfaces with abelian quotient singularities
E. Artal Bartolo, J. I. Cogolludo-Agustín, Jorge Martín-Morales
Esnault-Viehweg developed the theory of cyclic branched coverings of smooth surfaces providing a very explicit formula for the decomposition of $H^1(\tilde X,\mathb…
Cremona transformations of weighted projective planes, Zariski pairs, and rational cuspidal curves
E. Artal Bartolo, J. I. Cogolludo-Agustín, J. Martín-Morales
In this work, we study a family of Cremona transformations of weighted projective planes which generalize the standard Cremona transformation of the projective plane. Starting from…
The monodromy conjecture for a space monomial curve with a plane semigroup
Jorge Martín-Morales, Willem Veys, Lena Vos
This article investigates the monodromy conjecture for a space monomial curve that appears as the special fiber of an equisingular family of curves with a plane branch as generic f…
Delta invariant of curves on rational surfaces I. The analytic approach
José Ignacio Cogolludo-Agustín, Tamás László, Jorge Martín-Morales +1
We prove that if (C,0) is a reduced curve germ on a rational surface singularity (X,0) then its delta invariant can be recovered by a concrete expression associated with the embedd…
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…
Triangular curves and cyclotomic Zariski tuples
Enrique Artal Bartolo, Jose I. Cogolludo-Agustin, Jorge Martín-Morales
The purpose of this paper is to exhibit infinite families of conjugate projective curves in a number field whose complement have the same abelian fundamental group, but are non-hom…
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…
Embedded -Resolutions for Yomdin-Lê Surface Singularities
Jorge Martín-Morales
In a previous work we have introduced and studied the notion of embedded -resolution, which essentially consists in allowing the final ambient space to contain abelian…
Monodromy Zeta Function Formula for Embedded -Resolutions
Jorge Martín-Morales
In a previous work we have introduced the notion of embedded $\Q$-resolution, which essentially consists in allowing the final ambient space to contain abelian quotient singulariti…
Intersection Theory on Abelian-Quotient -Surfaces and -Resolutions
Enrique Artal Bartolo, Jorge Martín-Morales, Jorge Ortigas-Galindo
In this paper we study the intersection theory on surfaces with abelian quotient singularities and we derive properties of quotients of weighted projective planes. We also use this…
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…
Effective Methods for the Computation of Bernstein-Sato polynomials for Hypersurfaces and Affine Varieties
Daniel Andres, Viktor Levandovskyy, Jorge Martín-Morales
This paper is the widely extended version of the publication, appeared in Proceedings of ISSAC'2009 conference \citep*{ALM09}. We discuss more details on proofs, present new algori…