19 citations · 69 across the 16 of their papers we have counts for
19 papers
Supersymmetric gaps of a numerical semigroup with two generators
Patricio Almirón, Julio José Moyano-Fernández
In this paper we introduce the new concepts of supersymmetric and self-symmetric gaps of a numerical semigroup with two generators. Those concepts are based on certain symmetries o…
Quantum codes from a new construction of self-orthogonal algebraic geometry codes
Fernando Hernando, Gary McGuire, Francisco Monserrat +1
We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the f…
Generalized Weierstrass semigroups and their Poincaré series
Julio José Moyano-Fernández, Wanderson Tenório, Fernando Torres
We investigate the structure of the generalized Weierstrass semigroups at several points on a curve defined over a finite field. We present a description of these semigroups that e…
Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities
R. Y. Teh, L. Rosales-Zárate, B. Opanchuk +1
We construct Einstein-Podolsky-Rosen (EPR) steering signatures for the nonlocality of the entangled superposition state described by $\frac{1}{\sqrt{2}}\{|N\rangle|0\rangle+|0\rang…
Which series are Hilbert series of graded modules over polynomial rings?
Lukas Katthän, Julio José Moyano-Fernández, Jan Uliczka
Let be a multigraded polynomial ring such that the degree of each variable is a unit vector; so is the homogeneous coordinate ring of a product of projective spaces. In thi…
On the score sheets of a round-robin football tournament
Bogdan Ichim, Julio José Moyano-Fernández
The set of (ordered) score sheets of a round-robin football tournament played between teams together with the pointwise addition has the structure of an affine monoid. In this…
How to compute the Stanley depth of a module
Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández
In this paper we introduce an algorithm for computing the Stanley depth of a finitely generated multigraded module over the polynomial ring . As a…
Lcm-lattices and Stanley depth: a first computational approach
Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández
Let be a field, and let be the polynomial ring. Let be a monomial ideal of with up to 5 generators. In this paper, we present a c…
Stanley depth and the lcm-lattice
Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández
In this paper we show that the Stanley depth, as well as the usual depth, are essentially determined by the lcm-lattice. More precisely, we show that for quotients of monomia…
The behavior of Stanley depth under polarization
Bogdan Ichim, Lukas Katthän, Julio José Moyano-Fernández
Let be a field, be the polynomial ring and two monomial ideals in . In this paper we show that $\mathrm{sdepth}\ {I/J} - \mathrm{depth}…
Duality and syzygies for semimodules over numerical semigroups
Julio José Moyano-Fernández, Jan Uliczka
Let be a numerical semigroup. In this article we consider the dual of a -semimodule ; in particular we deduce a formula that expresses the minim…
Lattice paths with given number of turns and semimodules over numerical semigroups
Julio José Moyano-Fernández, Jan Uliczka
Let Γ=<α, β> be a numerical semigroup. In this article we consider several relations between the so-called Γ-semimodules and lattice paths from (0,α) to (β,0): we investigate isomo…
How to compute the multigraded Hilbert depth of a module
Bogdan Ichim, Julio José Moyano-Fernández
The aim of this paper is to introduce a method for computing Hilbert decompositions (and consequently the Hilbert depth) of a finitely generated multigraded module over the pol…
Generalised Poincaré series and embedded resolution of curves
Julio José Moyano-Fernández
The purpose of this paper is to extend the notions of generalised Poincaré series and divisorial generalised Poincaré series (of motivic nature) introduced by Campillo, Delgado and…
A note on the computation of the Frobenius number of a numerical semigroup
Julio José Moyano-Fernández
In this note we observe that the Frobenius number and therefore the conductor of a numerical semigroup can be obtained from the maximal socle degree of the quotient of the correspo…
Fractional ideals and integration with respect to the generalised Euler characteristic
Julio José Moyano-Fernández
Let be a fractional ideal of a one-dimensional Cohen-Macaulay local ring containing a perfect field . This paper is devoted to the study some -modules associated with…
Curvettes and clusters of infinitely near points
J. J. Moyano-Fernández
The aim of this paper is to revise the theory of clusters of infinitely near points for arbitrary fields. We describe in particular the intersection matrix of such a cluster, we in…
On Weierstraß semigroups at one and two points and their corresponding Poincaré series
J. J. Moyano-Fernández
The aim of this paper is to introduce and investigate the Poincaré series associated with the Weierstraß semigroup of one and two rational points at a (not necessarily irreducible)…
Motivic Zeta Functions for Curve Singularities
J. J. Moyano-Fernandez, W. A. Zuniga-Galindo
Let X be a complete, geometrically irreducible, singular, algebraic curve defined over a field of characteristic p big enough. Given a local ring O_{P,X} at a rational singular poi…