Lattice methods for finding rational points on varieties over number fields

We develop a method for finding all rational points of bounded height on a variety defined over a number field K. Given a projective variety V we find a prime p of good reduction for V with certain properties and find all points on the reduced curve V (Fp). For each point P 2 V (Fp) we may define la...

Full description

Bibliographic Details
Main Author: Turner, Charlotte L.
Published: University of Warwick 2013
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.595772