A flexible method for applying Chabauty's Theorem |
| |
| Authors: | E V FLYNN |
| |
| Institution: | (1) Department of Pure Mathematics, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX, England |
| |
| Abstract: | A strategy is proposed for applying Chabauty's Theoremto hyperelliptic curves of genus > 1. In the genus 2case, it shown how recent developments on the formal group of the Jacobiancan be used to give a flexible and computationallyviable method for applying this strategy. The details are described for a general curveof genus 2, and are then applied to find C( ) fora selection of curves. A fringe benefit is a more explicit proof of a result of Coleman. |
| |
| Keywords: | Jacobians curves rational Points Chabauty formal groups |
| 本文献已被 SpringerLink 等数据库收录！ |
|
