Flynn, E. V. and Smart, N. P. (1997) Canonical heights on the jacobians of curves of genus 2 and the infinite descent. Acta Arithmetica, LXXIX (4). pp. 333352. ISSN 00651036

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Abstract
We give an algorithm to compute the canonical height on a Jacobian of a curve of genus 2. The computations involve only working with the Kummer surface and so lengthy computations with divisors in the Jacobian are avoided. We use this height algorithm to give an algorithm to perform the infinite descent stage of computing the MordellWeil group. This last stage is performed by a lattice enlarging procedure.
Item Type:  Article 

Uncontrolled Keywords:  Canonical height; Jacobian; Kummer surface. 
Subjects:  A  C > Algebraic geometry H  N > Number theory 
Research Groups:  Number Theory Group 
ID Code:  264 
Deposited By:  E. Victor Flynn 
Deposited On:  12 Jul 2006 
Last Modified:  29 May 2015 18:19 
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