50 citations · 143 across the 21 of their papers we have counts for
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math.NT2010
Computing local p-adic height pairings on hyperelliptic curves
Jennifer S. Balakrishnan, Amnon Besser
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…
math.NT2010★ 6 cited
Explicit Coleman integration for hyperelliptic curves
Jennifer S. Balakrishnan, Robert W. Bradshaw, Kiran S. Kedlaya
Coleman's theory of p-adic integration figures prominently in several number-theoretic applications, such as finding torsion and rational points on curves, and computing p-adic reg…