3 citations · 11 across the 9 of their papers we have counts for
9 papers
Bivariate trinomials over finite fields
Martin Avendano, Jorge Martin-Morales
We study the number of points in the family of plane curves defined by a trinomial \[ \mathcal{C}(α,β)= \{(x,y)\in\mathbb{F}_q^2\,:\,αx^{a_{11}}y^{a_{12}}+βx^{a_{21}}y^{a_{22}}=x^{…
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…
The space of curvettes of quotient singularities and associated invariants
Jose I. Cogolludo-Agustin, Jorge Martin-Morales
This paper deals with a complete invariant for cyclic quotient surface singularities. This invariant appears in the Riemann Roch and Numerical Adjunction Formulas for normal…
Semistable Reduction of a Normal Crossing -Divisor
Jorge Martín-Morales
In a previous work we have introduced the notion of embedded -resolution, which essentially consists in allowing the final ambient space to contain abelian quotient sin…
Local invariants on quotient singularities and a genus formula for weighted plane curves
Jose Ignacio Cogolludo-Agustin, Jorge Martin-Morales, Jorge Ortigas-Galindo
In this paper we extend the concept of Milnor fiber and Milnor number of a curve singularity allowing the ambient space to be a quotient surface singularity. A generalization of th…
Constructive -module Theory with \textsc{Singular}
Daniel Andres, Michael Brickenstein, Viktor Levandovskyy +2
We overview numerous algorithms in computational -module theory together with the theoretical background as well as the implementation in the computer algebra system \textsc{Sin…
Algorithms for Checking Rational Roots of -functions and their Applications
Viktor Levandovskyy, Jorge Martín-Morales
Bernstein-Sato polynomial of a hypersurface is an important object with numerous applications. It is known, that it is complicated to obtain it computationally, as a number of open…
Graded Betti Numbers of the Logarithmic Derivation Module
Miguel Ángel Marco-Buzunariz, Jorge Martín-Morales
Let $Q\in \K[x_1,...,x_n] = S$ be a homogeneous polynomial of degree . The freeness of the logarithmic derivation module, , and of its natural generalizations, has been wi…
On the varieties of representations and characters of a family of one-relator subgroups. Their irreducible components
Jorge Martin-Morales, Antonio M. Oller-Marcen
Let us consider the group with and nonzero integers. In this paper, we study the variety of epresentations and the character variety $X(G…