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Extending Elliptic Curve Chabauty to higher genus curves (1111.5506v1)

Published 23 Nov 2011 in math.NT

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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