Extending Elliptic Curve Chabauty to higher genus curves
Number Theory
2013-04-10 v1
Abstract
We give a generalization of the method of "Elliptic Curve Chabauty" to higher genus curves and their Jacobians. This method can sometimes be used in conjunction with covering techniques and a modified version of the Mordell-Weil sieve to provide a complete solution to the problem of determining the set of rational points of an algebraic curve .
Keywords
Cite
@article{arxiv.1111.5506,
title = {Extending Elliptic Curve Chabauty to higher genus curves},
author = {Michael Mourao},
journal= {arXiv preprint arXiv:1111.5506},
year = {2013}
}
Comments
24 pages