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SUMMARY:Coleman integrals\, p-adic heights\, and integral points on hypere
 lliptic curves - Jennifer Balakrishnan (Oxford)
DTSTART:20140204T161500Z
DTEND:20140204T171500Z
UID:TALK49036@talks.cam.ac.uk
CONTACT:James Newton
DESCRIPTION:We discuss explicit computation of Coleman integrals on hypere
 lliptic curves and some applications. In particular\, we relate a formula 
 for the component at p of the p-adic height pairing to a sum of iterated C
 oleman integrals. We use this to give a Chabauty-like method for computing
  p-adic approximations to integral points on such curves when the Mordell-
 Weil rank of the Jacobian equals the genus.
LOCATION:MR13
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