Flynn, E. V. (1997) A flexible method for applying Chabauty's Theorem. Compositio Mathematica, 105 . pp. 79-94. ISSN 0010-437X
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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: | 20 Jul 2009 14:19 |
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