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Title: Corbes el·líptiques: teorema de Mordell i Conjectura de Birch i Swinnerton-Dyer
Author: García Pons, Rubén
Director/Tutor: Guitart Morales, Xavier
Keywords: Corbes el·líptiques
Treballs de fi de grau
Geometria algebraica aritmètica
Teoria algebraica de nombres
Elliptic curves
Bachelor's theses
Arithmetical algebraic geometry
Algebraic number theory
Issue Date: 20-Jun-2021
Abstract: [en] Elliptic curves play a very notable role in many number theory problems. In this work, we study the structure of the group of rational points of elliptic curves defined over the rationals. More specifically, we give a proof of Mordell’s Theorem and include some results to be able to present the Birch and Swinnerton-Dyer Conjecture.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Xavier Guitart Morales
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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