Listar Departament: Matemàtiques por autoría "16400563-ded4-474e-9f85-71cbdd57b81d"
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A class of polynomial planar vector fields with polynomial first integral
Elsevier (2015-10)We give an algorithm for deciding whether a planar polynomial differential system has a first integral which factorizes as a product of defining polynomials of curves with only one place at infinity. In the affirmative ... -
Algebraic integrability of planar polynomial vector fields by extension to Hirzebruch surfaces
Springer Nature (2022-09-18)We study algebraic integrability of complex planar polynomial vector fields X=A(x,y)(∂/∂x)+B(x,y)(∂/∂y) through extensions to Hirzebruch surfaces. Using these extensions, each vector field X determines two infinite families ...
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Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
IEEE (2020-01-17)The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors ...
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Discrete Equivalence of Non-positive at Infinity Plane Valuations
Springer (2021-06-26)Non-positive at infinity valuations are a class of real plane valuations which have a nice geometrical behavior. They are divided in three types. We study the dual graphs of non-positive at infinity valuations and give ...
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Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2
Springer Nature (2021-05-03)Entanglement-assisted quantum error-correcting codes (EAQECCs) constructed from Reed–Solomon codes and BCH codes are considered in this work. It is provided a complete and explicit formula for the parameters of EAQECCs ...
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Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
Springer Verlag (2019)We prove that the known formulae for computing the optimal number of maximally entangled pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over the binary field hold for codes over arbitrary ...
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Evaluación de competencias matemáticas en el ámbito de la economía adquiridas durante la pandemia Covid-19
Asociación Española de Profesores Universitarios de Matemáticas para la Economía y la Empresa (ASEPUMA) (2022)La llegada sobrevenida de la COVID-19 ha obligado, sin preparación previa, a la totalidad de profesorado y alumnado de nuestro país a enseñar y evaluar de manera no presencial. Este trabajo pretende medir hasta qué punto ...
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Evaluation codes defined by finite families of plane valuations at infinity
Springer US (2012-08)We construct evaluation codes given by weight functions defined over polynomial rings in m ≥ 2 indeterminates. These weight functions are determined by sets of m−1 weight functions over polynomial rings in two indeterminates ...
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Finite families of plane valuations: value semigroup, graded algebra and Poincaré series
(2012)In this paper, the authors are interested in some applications of valuation theory to algebraic geometry and, particularly, to singularity theory. The aim of this paper is to provide a concise survey of some aspects of the ...
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Foliations with isolated singularities on Hirzebruch surfaces
De Gruyter (2021)We study foliations ℱ on Hirzebruch surfaces Sδ and prove that, similarly to those on the projective plane, any ℱ can be represented by a bi-homogeneous polynomial affine 1-form. In case ℱ has isolated singularities, we ...
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Generating sequences and Poincaré series for a finite set of plane divisorial valuations
Elsevier (2008)Let V be a finite set of divisorial valuations centered at a 2- dimensional regular local ring R. In this paper we study its structure by means of the semigroup of values, SV , and the multi-index graded algebra defined ...
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Implementación de un entorno virtual para la enseñanza/aprendizaje a distancia de las Matemáticas
Servicio de Publicaciones Universidad de Zaragoza (2019-10-09)En este trabajo detallamos como poner en práctica un Entorno Virtual de Enseñanza/Aprendizaje en el ámbito de las matemáticas. Explicamos cómo hacerlo desde sus inicios, cuando se realiza el diseño del mismo, también ...
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Improved constructions of nested code pairs
IEEE (2017-09)Two new constructions of linear code pairs C2 ⊂ C1 are given for which the codimension and the relative minimum distances M1(C1,C2), M1(C┴2 , C┴1) are good. By this we mean that for any two out of the three parameters the ...
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Improved evaluation codes defined by plane valuations
Elsevier (2010)We study improved evaluation codes associated with finitely generated order structures given by plane valuations. We show minimal sets of generators of the semigroups of these structures and provide parameters for the ... -
Influencia de la encuesta de los estudiantes sobre la calidad docente en la universidad
UNED (2023-01-18)En el ámbito universitario español existen intereses particulares contrapuestos. Por un lado, uno de los principales objetivos de los estudiantes, si no el más importante, es aprobar las asignaturas. Estos consideran en ...
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Minimal plane valuations
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 ...
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New binary and ternary LCD codes
IEEE (2018-05-09)LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field ...
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New quantum codes from evaluation and matrix-product codes
Elsevier (2014-07)Stabilizer codes obtained via CSS code construction and Steane's enlargement of subfield-subcodes and matrix-product codes coming from generalized Reed-Muller, hyperbolic and affine variety codes are studied. Stabilizer ...
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Newton–Okounkov Bodies of Exceptional Curve Plane Valuations Non-positive at Infinity
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.
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Newton–Okounkov bodies of exceptional curve valuations
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 ...
