Flynn, E. V. and Wunderle, J. (2009) Cycles of Covers. Monatsh. Math., 157 . pp. 217232. ISSN 00269255

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Abstract
We initially consider an example of Flynn and Redmond, which gives an infinite family of curves to which Chabauty's Theorem is not applicable, and which even resist solution by one application of a certain bielliptic covering technique. In this article, we shall consider a general context, of which this family is a special case, and in this general situation we shall prove that repeated application of bielliptic covers always results in a sequence of genus 2 curves which cycle after a finite number of repetitions. We shall also give an example which is resistant to repeated applications of the technique.
Item Type:  Article 

Subjects:  H  N > Number theory 
Research Groups:  Number Theory Group 
ID Code:  801 
Deposited By:  E. Victor Flynn 
Deposited On:  01 Sep 2009 07:34 
Last Modified:  29 May 2015 18:29 
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