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arxiv: math/0611384 · v1 · submitted 2006-11-13 · 🧮 math.NT · math.AG

The l-component of the unipotent Albanese map

classification 🧮 math.NT math.AG
keywords albanesecurvescharacteristiccorollarydeducedifferentellipticfields
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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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