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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: Balakrishnan, J, Besser, A
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: 2010