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The aim is to explore the p-divisibility of the Albanese kernel for products of curves over p-adic fields.

April 1, 2026Open Access

Bounds for the K-Groups Associated to Abelian Varieties Over a p-adic Field

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The aim is to explore the p-divisibility of the Albanese kernel for products of curves over p-adic fields.
Analyzed the structure of the Albanese map for products of curves
Investigated conditions under which Jacobian varieties have good ordinary reduction
Studied the effects of ramification on p-divisibility of algebraic structures
Confirmed that the Albanese kernel remains p-divisible when Jacobian varieties have good ordinary reduction
Established that this p-divisibility holds even if the base field has small ramification

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This note reports p-divisibility of Albanese kernels in curves over p-adic fields, suggesting improvement under certain conditions.

Toshiro Hiranouchi (2023) studied this question.

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