Extending finite-subgroup schemes of semistable abelian varieties via log-abelian varieties

DOI10.1215/21562261-2019-0049zbMath1455.14086arXiv1909.01038OpenAlexW2972052448MaRDI QIDQ2216686

Heer Zhao

Publication date: 16 December 2020

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01038

zbMATH Keywords

isogeniesKummer-flat sheaveslog finite-flat group schemesweak log-abelian varieties

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Algebraic moduli of abelian varieties, classification (14K10) Fibrations, degenerations in algebraic geometry (14D06)

Cites Work

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• Log abelian varieties over a log point
• \(K\)-theory of log-schemes. I.
• Degenerating abelian varieties via log abelian varieties
• On log flat descent
• Logarithmic abelian varieties, III: Logarithmic elliptic curves and modular curves
• Logarithmic abelian varieties, Part IV: Proper models
• Logarithmic structures of Fontaine-Illusie. II
• Logarithmic Abelian Varieties

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