Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields

DOI10.1016/j.jnt.2012.04.003zbMath1270.14021arXiv1007.3094OpenAlexW1968554711MaRDI QIDQ448201

Shin Hattori

Publication date: 30 August 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3094

zbMATH Keywords

Abbes-Saito ramificationBreuil-Kisin modulesCartier duality

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Group schemes (14L15) Witt vectors and related rings (13F35)

Related Items (5)

Canonical subgroups via Breuil-Kisin modules for \(p=2\) ⋮ Canonical subgroups via Breuil-Kisin modules ⋮ On canonical subgroups of Hilbert–Blumenthal abelian varieties ⋮ Ramification of higher local fields, approaches and questions ⋮ Ramification theory and perfectoid spaces

Cites Work

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• Canonical subgroups of Barsotti-Tate groups
• Ramification of a finite flat group scheme over a local field
• Moduli of finite flat group schemes, and modularity
• Modularity of 2-adic Barsotti-Tate representations
• Théorie de Dieudonne cristalline. II
• Ramification of local fields with imperfect residue fields. II
• \(p\)-divisible groups, finite groups and filtered modules
• Canonical subgroups and p-adic vanishing cycles for abelian varieties
• The classification of \(p\)-divisible groups over 2-adic discrete valuation rings
• The correspondence between Barsotti-Tate groups and Kisin modules when \(p=2\)
• Tame characters and ramification of finite flat group schemes
• Group schemes of period p >2
• La filtration de Harder-Narasimhan des schémas en groupes finis et plats
• Le corps des normes de certaines extensions infinies de corps locaux; applications
• Integral crystalline cohomology over very ramified valuation rings
• Quasi-semi-stable representations
• La filtration canonique des points de torsion des groupes $p$-divisibles
• Torsion p-adic Galois representations and a conjecture of Fontaine
• Crystalline representations and F-crystals
• On lattices in semi-stable representations: a proof of a conjecture of Breuil

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