Extending techniques used to determine the set of rational points on an algebraic curve

This thesis is concerned with the problem of determining sets of rational points on algebraic curves defined over number fields. Specifically, we will explore the methods of descent, Chabauty-Coleman and the Mordell-Weil sieve. These have been around for many years, and number theorists have used th...

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Bibliographic Details
Main Author: Mourao, Michael
Published: University of Warwick 2013
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.582379