Flynn, E. V. (1997) A flexible method for applying Chabauty's Theorem. Compositio Mathematica, 105 . pp. 79-94. ISSN 0010-437X
![]()
|
PDF
192kB |
Abstract
A strategy is proposed for applying Chabauty's Theorem to hyperelliptic curves of genus>1. In the genus 2 case, it shown how recent developments on the formal group of the Jacobian can be used to give a flexible and computationally viable method for applying this strategy. The details are described for a general curve of genus 2, and are then applied to find C(Q) for a selection of curves. A fringe benefit is a more explicit proof of a result of Coleman.
Item Type: | Article |
---|---|
Uncontrolled Keywords: | Chabauty's Theorem; hyperelliptic curves. |
Subjects: | A - C > Algebraic geometry H - N > Number theory |
Research Groups: | Number Theory Group |
ID Code: | 265 |
Deposited By: | E. Victor Flynn |
Deposited On: | 12 Jul 2006 |
Last Modified: | 29 May 2015 18:19 |
Repository Staff Only: item control page