Log $p$-divisible groups associated with semi-abelian degeneration
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908453470994432 |
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| author | Inoue, Kentaro |
| author_facet | Inoue, Kentaro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Log $p$-divisible groups associated with semi-abelian degeneration Inoue, Kentaro Algebraic Geometry Number Theory 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. |
| title | Log $p$-divisible groups associated with semi-abelian degeneration |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2505.03993 |