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We give a generalization of the method of "Elliptic Curve Chabauty" to highergenus curves and their Jacobians. This method can sometimes be used inconjunction with covering techniques and a modified version of the Mordell-Weilsieve to provide a complete solution to the problem of determining the set ofrational points of an algebraic curve $Y$.

Extending Elliptic Curve Chabauty to higher genus curves