5 papers · 1 filter
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…
An algorithm for annihilator and Bernstein-Sato polynomial of a rational function
Manuel González-Villa, Edwin León-Cardenal, Viktor Levandovskyy +1
The singularity theory of rational functions, i.e., the quotient of two polynomials, has been investigated in the past two decades. The Bernstein-Sato polynomial of a rational func…
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.
Counting points with Riemann-Roch formulas
Jorge Martín-Morales
We provide an algorithm for computing the number of integral points lying in certain triangles that do not have integral vertices. We use techniques from Algebraic Geometry such as…
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…