5 citations · 17 across the 16 of their papers we have counts for
17 papers
Ordinary --tuples in cyclic quotient surface singularities
José I. Cogolludo-Agustín, Tamás Lászlo, Jorge Martín-Morales +1
We describe those Weil divisors of cyclic quotient surface singularities which are (abstract) --tuple curve singularities.
On the topology of fiber-type curves: a Zariski pair of affine nodal curves
José Ignacio Cogolludo-Agustín, Eva Elduque
In this paper we explore conditions for a curve in a smooth projective surface to have a free product of cyclic groups as the fundamental group of its complement. It is known that…
Cyclic coverings of rational normal surfaces which are quotients of a product of curves
Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín, Jorge Martín-Morales
This paper deals with cyclic covers of a large family of rational normal surfaces that can also be described as quotients of a product, where the factors are cyclic covers of algeb…
Quasi-projective varieties whose fundamental group is a free product of cyclic groups
José Ignacio Cogolludo-Agustín, Eva Elduque
In this work we study smooth complex quasi-projective surfaces whose fundamental group is a free product of cyclic groups. In particular, we prove the existence of an admissible ma…
Homology of even Artin kernels
Rubén Blasco-García, José Ignacio Cogolludo-Agustín, Conchita Martínez-Pérez
We explicitly compute the homology groups with coefficients in a field of characteristic zero of cocyclic subgroups or even Artin groups of FC-type. We also give some partial resul…
On the Sigma invariants of even Artin groups of FC-type
Ruben Blasco. García, Jose Ignacio Cogolludo-Agustín, Conchita Martínez-Pérez
In this paper we study Sigma invariants of even Artin groups of FC-type, extending some known results for right-angled Artin groups. In particular, we define a condition that we ca…
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…
The delta invariant of curves on rational surfaces II: Poincaré series and topological aspects
José Ignacio Cogolludo-Agustín, Tamás László, Jorge Martín-Morales +1
In this article we study abstract and embedded invariants of reduced curve germs via topological techniques. One of the most important numerical analytic invariants of an abstract…
Module structure of the homology of right-angled Artin kernels
E. Artal Bartolo, J. I. Cogolludo-Agustín, S. López de Medrano +1
In this paper, we study the module structure of the homology of Artin kernels, i.e., kernels of non-resonant characters from right-angled Artin groups onto the integer numbers, the…
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…
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…
Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic links
E. Artal Bartolo, J. I. Cogolludo-Agustín, D. Matei
The present paper studies the structure of characteristic varieties of fundamental groups of graph manifolds. As a consequence, a simple proof of Papadima's question is provided on…
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…
On the topology of hypocycloids
E. Artal Bartolo, J. I. Cogolludo-Agustín
Algebraic geometry has many connections with physics: string theory, enumerative geometry, and mirror symmetry, among others. In particular, within the topological study of algebra…
Some open questions on arithmetic Zariski pairs
E. Artal Bartolo, J. I. Cogolludo-Agustín
In this paper, complement-equivalent arithmetic Zariski pairs will be exhibited answering in the negative a question by Eyral-Oka on these curves and their groups. A complement-equ…
The Max Noether Fundamental Theorem is Combinatorial
J. I. Cogolludo-Agustín, M. Á. Marco Buzunáriz
In the present paper we give a reformulation of the Noether Fundamental Theorem for the special case where the three curves involved have the same degree. In this reformulation, th…