Listar Artículos (Álgebra) por autor "Tornero Sánchez, José María"
Mostrando ítems 1-20 de 21
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A complete diophantine characterization of the rational torsion of an elliptic curve
(Springer, 2012-01)We give a complete characterization for the rational torsion of an elliptic curve in terms of the (non–)existence of integral solutions of a system of diophantine equations.
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A generalisation of the Phase Kick-Back
(Springer, 2023-03-13)In this paper, we present a generalisation of the Phase Kick-Back technique, which is central to some of the classical ...
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Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
(Cornell University, 2019-07-02)This article is partly a survey and partly a research paper. It tackles the use of Groebner bases for addressing problems ...
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Computing the rational torsion of an elliptic curve using Tate normal form
(Elsevier, 2002-09)It is a classical result (apparently due to Tate) that all elliptic curves with a torsion point of order n (4 ≤ n ≤ 10, ...
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Equimultiple locus of embedded algebroid surfaces and blowing-up in arbitrary characteristic
(Chinese Academy of Sciences, 2009-12)This paper extends previous results of the authors, concerning the behaviour of the equimultiple locus of algebroid surfaces under blowing–up, to arbitrary characteristic.
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Equimultiple locus of embedded algebroid surfaces and blowing-up in characteristic zero
(Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 2004)The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution process, both classical and modern.In this paper we explore how it changes by blowing–up.
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Galois Theory, discriminants and torsion subgroups of elliptic curves
(Elsevier, 2010-08)We find a tight relationship between the torsion subgroup and the image of the mod 2 Galois representation associated to ...
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Hironaka's characteristic polygon and effective resolution of surfaces
(Elsevier, 2007-03-01)Hironaka’s concept of characteristic polyhedron of a singularity has been one of the most powerful and fruitful ideas of ...
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Integral points in rational polygons: a numerical semigroup approach
(Springer, 2016)In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to ...
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Markoff-Rosenberger triples in arithmetic progression
(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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On simultaneous arithmetic progressions on elliptic curves
(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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On the computation of the Apéry set of numerical monoids and affine semigroups
(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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On the singular braid monoid of an orientable surface
(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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On the ubiquity of trivial torsion on elliptic curves
(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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Searching for simultaneous arithmetic progressions on elliptic curves
(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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Some combinatorial remarks on normal flatness in analytic spaces
(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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Some geometric aspects of Puiseux surfaces
(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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Thue equations and torsion groups of elliptic curves
(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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Torsion of rational elliptic curves over cubic fields
(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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Torsion of rational elliptic curves over quadratic fields
(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.