Extending Elliptic Curve Chabauty to higher genus curves

Details Extending Elliptic Curve Chabauty to higher genus curves Extending Elliptic Curve Chabauty to higher genus curves

2011-11-23

arxiv.org/abs/1111.5506v1

Mathematics

Number Theory

24 pages

Scientific paper

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 $Y$.

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