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Quadratic Chabauty for integral points and p-adic heights on even degree hyperelliptic curves

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Stevan Gajovic
Wed, 06/04/2022 - 14:30 - 15:30
Parent event: 
Number theory lunch seminar

For zoom details contact Pieter Moree (

In this talk, we show how to construct p-adic (Coleman-Gross) heights on
even degree hyperelliptic curves, more precisely, its local component
above p. Using heights, we construct a locally analytic function that we
use to compute integral points on certain even degree hyperelliptic
curves whose Jacobian has Mordell-Weil rank over Q equal to the genus.
This is joint work with Steffen Müller.


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