Log $p$-divisible groups associated with semi-abelian degeneration
Algebraic Geometry
2025-07-18 v2 Number Theory
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.
Cite
@article{arxiv.2505.03993,
title = {Log $p$-divisible groups associated with semi-abelian degeneration},
author = {Kentaro Inoue},
journal= {arXiv preprint arXiv:2505.03993},
year = {2025}
}
Comments
19 pages