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Computing the 2-descent over Q for curves of genus 2

Heiden, G. van der (1998) Computing the 2-descent over Q for curves of genus 2. Master's Thesis / Essay, Mathematics.

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Abstract

A wide range of problems in number theory is concerned with so called Diophantine problems. These are the kind of problems in which you look at a polynomial equation with rational coefficients and you wonder whether there exist any rational solutions and if so, whether you can find all these solutions. In this paper we will look at an algorithm which could give us some information about the rational solutions to a certain type of Diophantine equation. The main subject of this paper will be the problem of finding the rational points on the Jacobian J of an hyperelliptic curve C of genus 2, which is defined over Q.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:29
Last Modified: 15 Feb 2018 07:29
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/8657

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