Coleman integrals, p-adic heights, and integral points on hyperelliptic curves

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• Jennifer Balakrishnan (Oxford)
• Tuesday 04 February 2014, 16:15-17:15
• MR13.

If you have a question about this talk, please contact James Newton.

We discuss explicit computation of Coleman integrals on hyperelliptic curves and some applications. In particular, we relate a formula for the component at p of the p-adic height pairing to a sum of iterated Coleman integrals. We use this to give a Chabauty-like method for computing p-adic approximations to integral points on such curves when the Mordell-Weil rank of the Jacobian equals the genus.

This talk is part of the Number Theory Seminar series.

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