Classification of finite commutative group schemes over complete discrete valuation rings; the tangent space and semistable reduction of Abelian varieties

DOI10.1090/S1061-0022-07-00971-5zbMath1141.14027OpenAlexW1705868744MaRDI QIDQ5440780

Mikhail Vladimirovich Bondarko

Publication date: 5 February 2008

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-07-00971-5

zbMATH Keywords

Abelian varietylocal fieldformal groupsemi-stable reductiontangent spaceCartier modulefinite group scheme

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) Formal groups, (p)-divisible groups (14L05) Class field theory; (p)-adic formal groups (11S31) Group schemes (14L15)

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Cites Work

• Semistable reduction of abelian varieties over extensions of small degree
• Local Leopoldt's problem for rings of integers in Abelian \(p\)-extensions of complete discrete valuation fields
• Schémas en groupes de type $(p,\ldots,p)$
• Reduction of abelian varieties
• The generic fibre of finite group schemes; a “finite wild” criterion for good reduction of Abelian varieties
• Group schemes of prime order
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