Swan conductors for p-adic differential modules. II Global variation

DOI10.1017/S1474748010000137zbMath1272.11128arXiv0705.0031OpenAlexW2963621556MaRDI QIDQ3069641

Kiran S. Kedlaya

Publication date: 18 January 2011

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0031

zbMATH Keywords

wild ramificationoverconvergent isocrystalsSwan conductors\(p\)-adic differential modules

Mathematics Subject Classification ID

Ramification and extension theory (11S15) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (10)

Good formal structures for flat meromorphic connections. III: Irregularity and turning loci ⋮ Semi-continuity of conductors, and ramification bound of nearby cycles ⋮ Cut-by-curves criterion for the log extendability of overconvergent isocrystals ⋮ Purity for overconvergence ⋮ On ramification filtrations and p-adic differential equations, II: mixed characteristic case ⋮ Local acyclicity in \(p\)-adic cohomology ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Simple connectivity of Fargues-Fontaine curves ⋮ Ramification of higher local fields, approaches and questions ⋮ The monodromy groups of lisse sheaves and overconvergent \(F\)-isocrystals

Cites Work

• Swan conductors for \(p\)-adic differential modules. I: A local construction
• Detecting integral polyhedral functions
• Smoothness, semi-stability and alterations
• Ramification of local fields with imperfect residue fields. II
• Morphisms of \(F\)-isocrystals and the finite monodromy theorem for unit-root \(F\)-isocrystals.
• Structure of formal meromorphic connections in several variables and semicontinuity of the irregularity
• Les zéros des fonctions analytiques d'une variable sur un corps valué complet
• Fourier transforms and $p$-adic ‘Weil II’
• Semistable reduction for overconvergent F-isocrystals, II: A valuation-theoretic approach
• Semistable reduction for overconvergentF-isocrystals, III: Local semistable reduction at monomial valuations
• Differential modules onp-adic polyannuli
• Finite local monodromy of overconvergent unit-root F -isocrystals on a curve
• Class Field Theory, D-Modules, and Ramification on Higher Dimensional Schemes, Part I
• Rigid analytic spaces with overconvergent structure sheaf
• LOCAL MONODROMY OF p-ADIC DIFFERENTIAL EQUATIONS: AN OVERVIEW
• Semistable reduction for overconvergent $F$-isocrystals I: Unipotence and logarithmic extensions
• Weak Formal Schemes
• Liftings of smooth algebras and of their morphisms

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