The l-component of the unipotent Albanese map
Minhyong Kim, Akio Tamagawa
Abstract
We study the 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 `pi1'-proof of Siegel's theorem for rank 1 elliptic curves minus the origin.
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