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Mostrando ítems 1-10 de 26
Artículo
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 an elliptic curve defined over the rationals. This is shown using some characterizations for the ...
Artículo
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.
Artículo
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, or n = 12) lie in a oneparameter family. However, this fact does not appear to have been used ever for ...
Artículo
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 standard bases. We will prove, using purely combinatorial methods, a characterization theorem for ...
Tesis Doctoral
Cálculo de invariantes combinatorios de semigrupos numéricos y aplicaciones
(2014)
En esta tesis trata básicamente, de en primer lugar establecer una relación entre bases de Groebner y semigrupos numéricos y en segundo lugar utilizar dicha relación para obtener diversas aplicaciones y resultados. La ...
Artículo
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 first motivate this diophantine problem, prove some results, provide a number of interesting examples ...
Tesis Doctoral
Artículo
Torsion of rational elliptic curves over quadratic fields II
(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 authors studied, for a given G, which possible groups G\leq H could appear such that H=E(K)_tors, for ...
Tesis Doctoral
Aspectos locales de singularidades de superficies superficies de Puiseux
(2001)
La memoria se articula en tres capítulos. En el primer capítulo se fijan definiciones y propiedades conocidas. Superficies algebroides, explosiones, divisor excepcional, cono tangente. Así mismo se prueban resultados ...
Artículo
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 the last decades in singularity theory. In fact, since then combinatorics have become a major tool ...