Author
Flynn, E
Wunderle, J
Journal title
Monatshefte fur Mathematik
DOI
10.1007/s00605-008-0027-5
Issue
3
Volume
157
Last updated
2025-04-11T11:19:17.397+01:00
Page
217-232
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. © 2008 Springer-Verlag.
Symplectic ID
26650
Favourite
On
Publication type
Journal Article
Publication date
01 Jul 2009
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