Ramification theory and perfectoid spaces

DOI10.1112/S0010437X1300763XzbMath1331.11103arXiv1304.5895OpenAlexW3106187759MaRDI QIDQ2877503

Shin Hattori

Publication date: 22 August 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5895

zbMATH Keywords

truncated discrete valuation ringsperfectoid spacesramification theory of Abbes-Saito theory

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Rigid analytic geometry (14G22)

Cites Work

• Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields
• On ramification filtrations and \(p\)-adic differential modules. I: The equal characteristic case
• Ramification of a finite flat group scheme over a local field
• Extensions of truncated discrete valuation rings
• Continuous valuations
• A generalization of formal schemes and rigid analytic varieties
• Ramification of local fields with imperfect residue fields. II
• Formal and rigid geometry. IV: The reduced fibre theorem
• Perfectoid spaces
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Le corps des normes de certaines extensions infinies de corps locaux; applications
• On ramification filtrations and p-adic differential equations, II: mixed characteristic case

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