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SUMMARY:Computing p-adic heights on hyperelliptic curves - Stevan Gajović
  (Charles University)
DTSTART:20231114T143000Z
DTEND:20231114T153000Z
UID:TALK206773@talks.cam.ac.uk
CONTACT:Jef Laga
DESCRIPTION:In this talk\, we present an algorithm to compute p-adic heigh
 ts on hyperelliptic curves with good reduction. Our algorithm improves a p
 revious algorithm of Balakrishnan and Besser by being considerably simpler
  and faster and allowing even degree models. We discuss two applications o
 f our work: to apply the quadratic Chabauty method for rational and integr
 al points on hyperelliptic curves and to test the p-adic Birch and Swinner
 ton-Dyer conjecture in examples numerically. This is joint work with Steff
 en Müller.\n\n
LOCATION:MR13
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