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arXiv · 1004.4936

Explicit Coleman integration for hyperelliptic curves

Jennifer S. Balakrishnan·Robert W. Bradshaw·Kiran S. Kedlaya
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Abstract

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.

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Jennifer S. Balakrishnan, Robert W. Bradshaw, Kiran S. Kedlaya. 2010-05-04. Explicit Coleman integration for hyperelliptic curves. https://arxiv.org/abs/1004.4936

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