The Mathematical Institute, University of Oxford, Eprints Archive

Cycles of Covers.

Flynn, E. V. and Wunderle, J. (2009) Cycles of Covers. Monatsh. Math., 157 . pp. 217-232. ISSN 0026-9255

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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 08:34
Last Modified:01 Sep 2009 08:34

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