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Listar Algebra por autor "González Jiménez, Enrique"
Mostrando ítems 1-6 de 6
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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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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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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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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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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 ...