Local indices of \(p\)-adic differential operators corresponding to Artin-Schreier-Witt coverings

DOI10.1215/S0012-7094-95-07719-9zbMath0849.12013MaRDI QIDQ1896000

Shigeki Matsuda

Publication date: 17 November 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Swan conductor\(p\)-adic differential operatorslocal indices

Mathematics Subject Classification ID

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

Related Items (max. 100)

Représentations galoisiennes et opérateurs de Bessel \(p\)-adiques. (Galois representations and \(p\)-adic Bessel operators) ⋮ 𝐹-analytic 𝐵-pairs ⋮ On \(\pi\)-exponentials. II: Closed formula for the index ⋮ Katz correspondence and irregularity of overconvergent isocrystals of rank one ⋮ The monodromy of unit-root F-isocrystals with geometric origin ⋮ Good Reduction of K3 Surfaces in equicharacteristic p ⋮ Algebraic properties of a class of \(p\)-adic exponentials ⋮ The logarithmic growth of an element of the Robba ring which satisfies a Frobenius equation ⋮ Rank one solvable \(p\)-adic differential equations and finite Abelian characters via Lubin-Tate groups ⋮ \(\pi\)-exponentials for generalized twisted ramified Witt vectors ⋮ Iwasawa theory and \(F\)-analytic Lubin-Tate \((\varphi,\Gamma)\)-modules ⋮ Families of Galois representations and (𝜑,𝜏)-modules ⋮ The convergence Newton polygon of a \(p\)-adic differential equation. I: Affinoid domains of the Berkovich affine line ⋮ Differential \((\varphi,\tau)\)-modules and potentially semi-stable representations ⋮ Slope filtration of quasi-unipotent overconvergent \(F\)-isocrystals ⋮ Lifting of schemes and Monsky-Washnitzer algebras: equivalence and full faithfulness theorems ⋮ Product formula forp-adic epsilon factors ⋮ Unnamed Item ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Arithmetic 𝒟-modules on the unit disk. With an appendix by Shigeki Matsuda ⋮ Unnamed Item ⋮ p-Adic estimates of abelian Artin L-functions on curves

Cites Work

• Index of a first order \(p\)-adic differential operator. IV: The case of systems. Measures of irregularity in a ball
• Anneaux locaux henséliens
• EXPLICIT FORM OF THE LAW OF RECIPROCITY
• Radii of Convergence and Index for p-Adic Differential Operators
• On the Swan conductor in positive characteristic
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