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Listar Algebra por autor "García Selfa, Irene"
Mostrando ítems 1-7 de 7
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Artículo
A complete diophantine characterization of the rational torsion of an elliptic curve
García Selfa, Irene; Tornero Sánchez, José María (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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Tesis Doctoral
Aspectos diofánticos y computacionales de la torsión racional en curvas elípticas
García Selfa, Irene (2006-12-13) -
Artículo
Computing the rational torsion of an elliptic curve using Tate normal form
García Selfa, Irene; Olalla Acosta, Miguel Ángel; Tornero Sánchez, José María (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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Artículo
Galois Theory, discriminants and torsion subgroups of elliptic curves
García Selfa, Irene; González Jiménez, Enrique; Tornero Sánchez, José María (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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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
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
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.