Logarithmic Dieudonne theory

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arxiv 2306.13943 v1 pith:BIH5VMM7 submitted 2023-06-24 math.AG

Kazuya Kato This is my paper · ORCID

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keywords logarithmictheorycommutativedevelopdieudonnefinitefreegroup

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We develop the theory of logarithmic p-divisible groups and the theory of logarithmic finite locally free commutative group schemes.

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Log $p$-divisible groups associated with semi-abelian degeneration
math.AG 2025-05 conditional novelty 6.0 of 10

Over a regular base with a normal crossings divisor, the p-divisible group (and n-torsion) of a degenerating abelian scheme extends uniquely to a log p-divisible group (log finite group scheme).