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.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:494093 |
| Date | January 2008 |
| Creators | Wunderle, John Paul |
| Publisher | University of Liverpool |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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