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arXiv · 1010.6009

Computing local p-adic height pairings on hyperelliptic curves

Jennifer S. Balakrishnan·Amnon Besser
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Abstract

We describe an algorithm to compute the local component at p of the Coleman-Gross p-adic height pairing on divisors on hyperelliptic curves. As the height pairing is given in terms of a Coleman integral, we also provide new techniques to evaluate Coleman integrals of meromorphic differentials and present our algorithms as implemented in Sage.

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Jennifer S. Balakrishnan, Amnon Besser. 2010-10-28. Computing local p-adic height pairings on hyperelliptic curves. https://arxiv.org/abs/1010.6009

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