Computing local p-adic height pairings on hyperelliptic curves

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 pr...

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Autori principali: Balakrishnan, J, Besser, A
Natura: Journal article
Lingua:English
Pubblicazione: 2010