Logarithmic growth and Frobenius filtrations for solutions ofp-adic differential equations

DOI10.1017/S1474748009000012zbMath1176.12006MaRDI QIDQ5191324

Bruno Chiarellotto, Nobuo Tsuzuki

Publication date: 29 July 2009

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

zbMATH Keywords

Newton polygonlogarithmic growth\(p\)-adic differential equation

Mathematics Subject Classification ID

(p)-adic cohomology, crystalline cohomology (14F30) (p)-adic differential equations (12H25)

Related Items (12)

On log-growth of solutions of \(p\)-adic differential equations at a logarithmic singular point ⋮ Jacobi sum, differential equation modulo prime and logarithmic growth ⋮ Infinitesimal deformation of \(p\)-adic differential equations on Berkovich curves ⋮ The logarithmic growth of an element of the Robba ring which satisfies a Frobenius equation ⋮ Minimal slope conjecture of \(F\)-isocrystals ⋮ Riccati differential equation for hypergeometric differential equation ⋮ On the rationality and continuity of logarithmic growth filtration of solutions of \(p\)-adic differential equations ⋮ The highest slope of log-growth Newton polygon of \(p\)-adic differential equations ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Logarithmic growth filtrations for -modules over the bounded Robba ring ⋮ CONSTANCY OF NEWTON POLYGONS OF -ISOCRYSTALS ON ABELIAN VARIETIES AND ISOTRIVIALITY OF FAMILIES OF CURVES ⋮ Bessel \(F\)-isocrystals for reductive groups

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