On ramification filtrations and p -adic differential equations, II: mixed characteristic case

2011/11/30 by Liang Xiao · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Polynomial and algebraic computation

paper · pdf · doi:10.1112/s0010437x1100707x

Abstract

Abstract Let K be a complete discrete valuation field of mixed characteristic (0, p ), with possibly imperfect residue field. We prove a Hasse–Arf theorem for the arithmetic ramification filtrations on G K , except possibly in the absolutely unramified and non-logarithmic case, or the p =2 and logarithmic case. As an application, we obtain a Hasse–Arf theorem for filtrations on finite flat group schemes over 𝒪 K .

Citations

• Structure of Inseparable Extensions

Cited by

• Ramification of local fields with imperfect residue fields III
• F-characteristic cycle of a rank one sheaf on an arithmetic surface

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