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Computation of Sets of Rational Points of Genus-3 Curves via the Dem'Janenko–Manin Method
Published online by Cambridge University Press: 01 February 2010
Abstract
The authors construct two families of genus-3 curves defined over Q(t) with three independent morphisms to an elliptic curve of rank at most two. They give explicit examples of an application of the Dem'janenko-Manin method that completely determines both the set of the Q(t)-rational points of the curves under consideration, and the set of Q-rational points of some specialisations.
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- Copyright © London Mathematical Society 2005
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