Computing local p-adic height pairings on hyperelliptic curves
Number Theory
2010-10-29 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1010.6009,
title = {Computing local p-adic height pairings on hyperelliptic curves},
author = {Jennifer S. Balakrishnan and Amnon Besser},
journal= {arXiv preprint arXiv:1010.6009},
year = {2010}
}