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arXiv · 1111.5506

Extending Elliptic Curve Chabauty to higher genus curves

Michael Mourao
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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 $Y$.

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Michael Mourao. 2011-11-23. Extending Elliptic Curve Chabauty to higher genus curves. https://doi.org/10.1007/s00229-013-0621-2

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