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Title: Jacobians of hyperelliptic curves
Author: Wunderle, John Paul
Awarding Body: University of Liverpool
Current Institution: University of Liverpool
Date of Award: 2008
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In this thesis, we look at problems in Number Theory, specifically Diophantine Equations. We investigate Fermat Quartic curves, by presenting a set of methods to determine the existence of rational points on them. We also consider a method of resolving bielliptic curves of genus 2. We show that the method cycles for an infinite family of curves, and find an example where the method fails, however often it is repeatedly applied.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral