Trabajo Fin de Grado
Curvas elípticas y el Teorema de Mordell
Autor/es | Navas Orozco, Jesús |
Director | Narváez Macarro, Luis |
Fecha de publicación | 2019 |
Fecha de depósito | 2019-11-04 |
Titulación | Universidad de Sevilla. Grado en Matemáticas |
Resumen | Eliptic curves are mathematical objects that have interesting analytic, arithmetic and algebraic properties, though we’ll focus on the algebraic and arithmetic aspects only. We can define a natural geometric group law on ... Eliptic curves are mathematical objects that have interesting analytic, arithmetic and algebraic properties, though we’ll focus on the algebraic and arithmetic aspects only. We can define a natural geometric group law on them. Mordell’s theorem states that the subgroup of points with rational coordinates of and elliptic curve defined over Q is abelian and finitely generated and it’s usually a good first objective in the study of these curves. The proof is not elementary and eventually, we’ll need to use some tools of algebraic number theory. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Navas Orozco Jesús TFG.pdf | 642.5Kb | [PDF] | Ver/ | |