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Moduli of logarithmic abelian varieties with PEL structure

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arxiv 2205.10985 v1 pith:N7BYZXA6 submitted 2022-05-23 math.AG

Takeshi Kajiwara , Kazuya Kato , Chikara Nakayama This is my paper · ORCID
classification math.AG
keywords abelianmodulistructurevarietiesspacecompactificationconstructfine
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We construct the fine moduli space of log abelian varieties with PEL structure, which gives a toroidal compactification of the moduli space of abelian varieties with PEL structure.

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  1. 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).

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