The Mathematical Institute, University of Oxford, Eprints Archive

The arithmetic of hyperelliptic curves

Flynn, E. V. (1996) The arithmetic of hyperelliptic curves. In: Algorithms in Algebraic Geometry. Progress in Mathematics, 143 . Birkhäuser, Boston, USA, pp. 165-175. ISBN 0-8176-5274-4

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Abstract

We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves; in particular, those for finding the rank of the Jacobian, and the set of rational points on the curve.

Item Type:Book Section
Uncontrolled Keywords:Hyperelliptic curves; Jacobians; rational points.
Subjects:A - C > Algebraic geometry
H - N > Number theory
Research Groups:Number Theory Group
ID Code:266
Deposited By:E. Victor Flynn
Deposited On:12 Jul 2006
Last Modified:20 Jul 2009 14:19

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