Slope filtration of quasi-unipotent overconvergent \(F\)-isocrystals

DOI10.5802/aif.1622zbMath0907.14007OpenAlexW2332879227WikidataQ105584398 ScholiaQ105584398MaRDI QIDQ1266218

Nobuo Tsuzuki

Publication date: 14 September 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_2_379_0

zbMATH Keywords

Frobenius-crystalsRobba ringoverconvergent \(F\)-isocrystals on curvesslope-filtrationunipotent crystals

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) (p)-adic cohomology, crystalline cohomology (14F30) (p)-adic differential equations (12H25)

Related Items

Représentations galoisiennes et opérateurs de Bessel \(p\)-adiques. (Galois representations and \(p\)-adic Bessel operators) ⋮ A group-theoretic generalization of thep-adic local monodromy theorem ⋮ The monodromy of unit-root F-isocrystals with geometric origin ⋮ The logarithmic growth of an element of the Robba ring which satisfies a Frobenius equation ⋮ Around -independence ⋮ Minimal slope conjecture of \(F\)-isocrystals ⋮ Fundamental groups and good reduction criteria for curves over positive characteristic local fields ⋮ Cycle classes in overconvergent rigid cohomology and a semistable Lefschetz theorem ⋮ The \(p\)-adic local monodromy theorem for fake annuli ⋮ Finiteness of rigid cohomology with coefficients ⋮ Logarithmic growth and Frobenius filtrations for solutions ofp-adic differential equations ⋮ Semistable reduction for overconvergentF-isocrystals, III: Local semistable reduction at monomial valuations ⋮ Product formula forp-adic epsilon factors ⋮ Logarithmic growth filtrations for -modules over the bounded Robba ring ⋮ Morphisms of \(F\)-isocrystals and the finite monodromy theorem for unit-root \(F\)-isocrystals. ⋮ CONSTANCY OF NEWTON POLYGONS OF -ISOCRYSTALS ON ABELIAN VARIETIES AND ISOTRIVIALITY OF FAMILIES OF CURVES

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