Log $p$-divisible groups associated with semi-abelian degeneration

Kentaro Inoue

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arXiv · 2505.03993

Log $p$-divisible groups associated with semi-abelian degeneration

Kentaro Inoue

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Abstract

In this paper, we prove that, when an abelian scheme has semi-abelian degeneration along normal crossings divisor in a regular base scheme, a finite flat group scheme of torsion points of the abelian scheme degenerates to a log finite group scheme, which captures more information than a quasi-finite flat group scheme of torsion points of the semi-abelian scheme.

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Kentaro Inoue. 2025-05-06. Log $p$-divisible groups associated with semi-abelian degeneration. https://arxiv.org/abs/2505.03993

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