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This note investigates the Albanese kernel structure of curves over a p-adic field, indicating a novel proof approach.
In this short note, we investigate the image of the Kummer map associated to an abelian variety over a p-adic field. As a byproduct, we give the structure of the Albanese kernel of the product of curves over a p-adic field under some assumptions. The result has already known by E. Gazaki [1], but the proof is completely different.
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Toshiro Hiranouchi (2021) studied this question.
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