Bruin, N. and Flynn, E. V. (2003) Ncovers of hyperelliptic curves. Mathematical Proceedings of the Cambridge Philosophical Society (134). pp. 397405. ISSN 03050041

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Abstract
For a hyperelliptic curve C of genus g with a divisor class of order n=g+1, we shall consider an associated covering collection of curves D, each of genus g. We describe, up to isogeny, the Jacobian of each D via a map from D to C, and two independent maps from D to a curve of genus g(g1)/2. For some curves, this allows covering techniques that depend on arithmetic data of number fields of smaller degree than standard 2coverings; we illustrate this by using 3coverings to find all Qrational points on a curve of genus 2 for which 2covering techniques would be impractical.
Item Type:  Article 

Uncontrolled Keywords:  Coverings of Curves, Descent. 
Subjects:  A  C > Algebraic geometry H  N > Number theory 
Research Groups:  Number Theory Group 
ID Code:  256 
Deposited By:  E. Victor Flynn 
Deposited On:  12 Jul 2006 
Last Modified:  29 May 2015 18:18 
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