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Listar por autor "Tornero Sánchez, José María"
Mostrando ítems 21-40 de 40
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Artículo
Markoff-Rosenberger triples in arithmetic progression
González Jiménez, Enrique; Tornero Sánchez, José María (Elsevier, 2013-06)We study the solutions of the Rosenberg–Markoff equation ax2 + by2 + cz2 = dxyz (a generalization of the well–known Markoff ...
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Artículo
On simultaneous arithmetic progressions on elliptic curves
García Selfa, Irene; Tornero Sánchez, José María (Taylor & Francis, 2006)In this paper we study elliptic curves which have a number of points whose coordinates are in arithmetic progression. We ...
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Artículo
On the computation of the Apéry set of numerical monoids and affine semigroups
Márquez Campos, Guadalupe; Ojeda, Ignacio; Tornero Sánchez, José María (Springer, 2014-10-01)A simple way of computing the Apéry set of a numerical semigroup (or monoid) with respect to a generator, using Groebner ...
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Tesis Doctoral
On the generalised phase kick-back and its applications
Pastor Díaz, Ulises (2024-04-04)La computación cuántica es una rama que ha adquirido creciente relevancia en los últimos tiempos, sobre todo tras el ...
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Artículo
On the singular braid monoid of an orientable surface
Díaz Cantos, Jerónimo; González-Meneses López, Juan; Tornero Sánchez, José María (American Mathematical Society, 2004)In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
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Artículo
On the ubiquity of trivial torsion on elliptic curves
González Jiménez, Enrique; Tornero Sánchez, José María (Springer, 2010-08)The purpose of this paper is to give a down-to-earth proof of the well–known fact that a randomly chosen elliptic curve over the rationals is most likely to have trivial torsion.
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Trabajo Fin de Grado
Primalidad
Muñoz Ramírez, Paula (2023)The aim of this work is to present a deterministic method that establishes with absolute certainty whether a given number ...
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Trabajo Fin de Grado
El problema diofántico de Frobenius
Chacón Gómez, Manuel Jesús (2016-12)In this work, we study the diophantine Frobenius problem. First, in Chapter 1, we briefly present what are numerical ...
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Tesis Doctoral
Quantum álgorithms for the combinatorial invariants of numerical semigroups
Ossorio Castillo, Joaquín (2019)It was back in spring 2014 when the author of this doctoral dissertation was finishing its master thesis, whose main ...
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Trabajo Fin de Máster
Representaciones de Galois asociadas a curvas elípticas
Pineda Martín, Miguel (2023)J.P Serre made, in his article ’Proprietes galoisiénnés des points d’ordre fini des courbes elliptiques’ published in ...
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Artículo
Searching for simultaneous arithmetic progressions on elliptic curves
García Selfa, Irene; Tornero Sánchez, José María (Australian Mathematical Society, 2005-06)We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
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Artículo
Some combinatorial remarks on normal flatness in analytic spaces
Soto Prieto, Manuel Jesús; Tornero Sánchez, José María (Mathematical Society of the Republic of China, 2014-06)In this article we present a combinatorial treatment of normal flatness in analytic spaces, using the idea of equimultiple ...
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Artículo
Some geometric aspects of Puiseux surfaces
Tornero Sánchez, José María (European Mathematical Society, 2003)The following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that ...
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Trabajo Fin de Grado
El teorema de Nagell-Lutz
Cano Wall, Pablo (2022-06-01)The goal of this memory is to prove the Nagell-Lutz theorem, an important theorem about the rational torsion of elliptic ...
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Trabajo Fin de Máster
Teoría de la Complejidad en Computación Cuántica
Camacho Moro, Jesús (2020-06-01)During the rst half of the 20th century, the need of faster calculations brought the rst computers to our world. Those ...
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Trabajo Fin de Máster
The Néron-Ogg-Shafarevich Criterion for elliptic curves
Navas Orozco, Jesús (2020-09-07)This text is the required master thesis that the author needs to present in order to obtain his Master’s degree in ...
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Artículo
Thue equations and torsion groups of elliptic curves
García Selfa, Irene; Tornero Sánchez, José María (Elsevier, 2009-02)A new characterization of rational torsion subgroups of elliptic curves is found, for points of order greater than 4, through the existence of solution for systems of Thue equations.
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Artículo
Torsion of rational elliptic curves over cubic fields
González Jiménez, Enrique; Najman, Filip; Tornero Sánchez, José María (Rocky Mountain Mathematics Consortium, 2016)Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion ...
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Artículo
Torsion of rational elliptic curves over quadratic fields
González Jiménez, Enrique; Tornero Sánchez, José María (Springer, 2014-09)Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a quadratic number field.
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Artículo
Torsion of rational elliptic curves over quadratic fields II
González Jiménez, Enrique; Tornero Sánchez, José María (Springer, 2016-03)Let E be an elliptic curve defined over Q and let G=E(Q)_tors be the associated torsion group. In a previous paper, the ...