Listar por autoría "9fec35d0-f0a7-4af5-b147-3323d0db158b"
Mostrando ítems 1-20 de 31
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A formula for the conductor of a semimodule of a numerical semigroup with two generators
Almirón, Patricio; Moyano-Fernández, Julio José Springer (2021-03-30)We provide an expression for the conductor c(Δ) of a semimodule Δ of a numerical semigroup Γ with two generators in terms of the syzygy module of Δ and the generators of the semigroup. In particular, we deduce that the ... -
Basic actions to reduce dropout rates in distance learning
Gregori, Pablo; Martínez, Vicente; Moyano-Fernández, Julio José (2018-02)Today’s society, which is strongly based on knowledge and interaction with information, has a key component in technological innovation, a fundamental tool for the development of the current teaching methodologies. Nowadays, ... -
Duality and syzygies for semimodules over numerical semigroups
Moyano-Fernández, Julio José; Uliczka, Jan Springer Verlag (2015-02)Let Γ=⟨α,β⟩ be a numerical semigroup. In this article we consider the dual Δ∗ of a Γ-semimodule Δ; in particular we deduce a formula that expresses the minimal set of generators of Δ∗ in terms of the generators of Δ. As ... -
Elementos de Matemática discreta
Moyano-Fernández, Julio José Publicacions de la Universitat Jaume I (2021) -
Eliahou number, Wilf function and concentration of a numerical semigroup
Almirón, Patricio; Moyano-Fernández, Julio José Taylor & Francis (2022-03-30)We give an estimate of the minimal positive value of the Wilf function of a numerical semigroup in terms of its concentration. We describe necessary conditions for a numerical semigroup to have a negative Eliahou number ... -
Fractional ideals and integration with respect to the generalised Euler characteristic
Moyano-Fernández, Julio José Springer (2015)Let bb be a fractional ideal of a one-dimensional Cohen–Macaulay local ring containing a perfect field. This paper is devoted to the study of the motivic Poincaré series defined by different filtrations associated with bb ... -
Generalized Weierstrass semigroups and their Poincaré series.
Moyano-Fernández, Julio José; Tenório, W.; Torres, F. Elsevier (2019-07)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 enables us to associate them with combinatorial ... -
Hilbert regularity of Z-graded modules over polynomial rings
Bruns, Winfried; Moyano-Fernández, Julio José; Uliczka, Jan Rocky Mountain Mathematics Consortium (2017-06)Let M be a finitely generated Z-graded module over the standard graded polynomial ring R=K[X1,…,Xd] with K a field, and let HM(t)=QM(t)/(1−t)d be the Hilbert series of~M. We introduce the Hilbert regularity of~M as the ... -
Hilbert series of modules over positively graded polynomial rings
Katthan, Lukas; Moyano-Fernández, Julio José; Uliczka, Jan Elsevier (2016-08)In this note, we give examples of formal power series satisfying certain conditions that cannot be realized as Hilbert series of finitely generated modules. This answers to the negative a question raised in a recent article ... -
How to compute the Stanley depth of a module
Ichim, Bogdan; Katthan, Lukas; Moyano-Fernández, Julio José American Mathematical Society (2017)In this paper we introduce an algorithm for computing the Stanleydepth of a finitely generated multigraded module M over the polynomialring K[X1,...,Xn]. As an application, we give an example of a module whoseStanley depth ... -
Lattice paths with given number of turns and semimodules over numerical semigroups
Moyano-Fernández, Julio José; Uliczka, Jan Springer US (2014-06)Let Γ =< α, ß> be a numerical semigroup. In this article we consider several relations between the so-called Γ -semimodules and lattice paths from (0, α) to (ß,0): we investigate isomorphism classes of Γ -semimodules as ... -
LCM Lattices and Stanley Depth: A First Computational Approach
Ichim, Bogdan; Katthän, Lukas; Moyano-Fernández, Julio José Taylor & Francis (2015-10)Let K be a field, and let S D K [X1, . . . ,Xn] be the polynomial ring. Let / be a monomial ideal of S with up to 5 generators. In this paper, we present a computational experiment which allows us to prove that depthS ... -
Linear optics only allows every possible quantum operation for one photon or one port
Moyano-Fernández, Julio José; García-Escartín, Juan Carlos Elsevier (2017)We study the evolution of the quantum state of n photons in m different modes when they go through a lossless linear optical system. We show that there are quantum evolution operators U that cannot be built with linear ... -
Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
García-Escartín, Juan Carlos; Gimeno, Vicent; Moyano-Fernández, Julio José American Physical Society (2019)The evolution of quantum light through linear optical devices can be described by the scattering matrix S of the system. For linear optical systems with m possible modes, the evolution of n input photons is given by a ... -
Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
Garcia-Escartin, Juan Carlos; Gimeno, Vicent; Moyano-Fernández, Julio José American Physical Society (2019-08-02)The evolution of quantum light through linear optical devices can be described by the scattering matrix S of the system. For linear optical systems with m possible modes, the evolution of n input photons is given by a ... -
Minimal plane valuations
Galindo, Carlos; Monserrat, Francisco; Moyano-Fernández, Julio José American Mathematical Society (AMS) (2018-07)We consider the value u(v)=lim m->m-1 a(mL) , where a(mL) is the last value of the vanishing sequence of Hº(mL) along a divisorial or irrational valuation v centered at Op2,p ,L (respectively, P ) being a line ... -
Multiple photon effective Hamiltonians in linear quantum optical networks
García-Escartín, Juan Carlos; Gimeno, Vicent; Moyano-Fernández, Julio José Elsevier (2019)We give an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution of the quantum state of any number of photons entering a linear optics multiport. The description is based ... -
Newton–Okounkov Bodies of Exceptional Curve Plane Valuations Non-positive at Infinity
Galindo, Carlos; Montserrat Delpalillo, Francisco José; Moyano-Fernández, Julio José; Nickel, Matthias Springer (2018-11-04)In this note we announce a result determining the Newton–Okounkov bodies of the line bundle OP2(1) with respect to exceptional curve plane valuations non-positive at infinity. -
Newton–Okounkov bodies of exceptional curve valuations
Galindo, Carlos; Moyano-Fernández, Julio José; Monserrat, Francisco; Nickel, Matthias European Mathematical Society (2020-03-20)We prove that the Newton–Okounkov body associated to the flag E∙:={X=Xr⊃Er⊃{q}}, defined by the surface X and the exceptional divisor Er given by any divisorial valuation of the complex projective plane P2, with respect ... -
No-go theorems for photon state transformations in quantum linear optics
V. Parellada, Pablo; Gimeno i Garcia, Vicent; Moyano-Fernández, Julio José; Garcia-Escartin, Juan Carlos Elsevier (2023)We give a necessary condition for photon state transformations in linear optical setups preserving the total number of photons. From an analysis of the algebra describing the quantum evolution, we find a conserved quantity ...