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Explicit Coleman integration for hyperelliptic curves

Coleman's theory of p-adic integration figures prominently in several number-theoretic applications, such as finding torsion and rational points on curves, and computing p-adic regulators in K-theory (including p-adic heights on elliptic curves). We describe an algorithm for computing Coleman integrals on hyperelliptic curves, and its implementation in Sage.

preprint2010arXivOpen access
Jennifer S. BalakrishnanRobert W. BradshawKiran S. Kedlaya
math.NT
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Open access3 authors1 topic
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Jennifer S. BalakrishnanRobert W. BradshawKiran S. Kedlaya

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