Mathematics – Number Theory
Scientific paper
2010-10-28
Mathematics
Number Theory
Scientific paper
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.
Balakrishnan Jennifer S.
Besser Amnon
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