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Mordell's theorem for elliptic curves over rational function fields

Wouda, Anne (2019) Mordell's theorem for elliptic curves over rational function fields. Bachelor's Thesis, Mathematics.

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Abstract

This thesis considers a generalisation of Mordell's theorem for rational function fields. We prove that the theorem holds for rational function fields of the form $\Fqt$ in an elementary manner and we look at where and how the proof needs to be adjusted when we want to consider other rational function fields. We briefly look into some mathematical objects occurring in the proof and we end with the computation of the rank of an elliptic curve over a rational function field.

Item Type: Thesis (Bachelor's Thesis)
Supervisor:
Supervisor nameSupervisor E mail
Top, J.J.Top@rug.nl
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 07 Jul 2019
Last Modified: 08 Jul 2019 12:46
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/19945

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