The l-component of the unipotent Albanese map

Mathematics – Number Theory

Scientific paper

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Scientific paper

We study the \Q_p-unipotent Albanese map for curves over local fields with
residue characteristic different from p and show that it has finite image. As a
corollary, we deduce a simple `pi_1'-proof of Siegel's theorem for rank 1
elliptic curves minus the origin.

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