Around -independence

DOI10.1112/S0010437X17007527zbMath1420.11092arXiv1608.03796MaRDI QIDQ4590957

Bruno Chiarellotto, Christopher Lazda

Publication date: 21 November 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03796

zbMATH Keywords

cohomology\(L\)-functionsmotivesunipotent fundamental groupslocal function fields

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Étale and other Grothendieck topologies and (co)homologies (14F20) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (3)

\( \ell \)-independence of the trace of local monodromy in a relative case ⋮ Compatible systems and ramification ⋮ Corrigendum: Around -independence

Cites Work

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• Rigid cohomology over Laurent series fields
• Covers in \(p\)-adic analytic geometry and log covers. I: cospecialization of the \((p^\prime)\)-tempered fundamental group for a family of curves
• Relative fundamental groups and rational points
• A \(p\)-adic nonabelian criterion for good reduction of curves
• Comparing the sheaves of overconvergent isocrystals
• F-isocrystals and de Rham cohomology. II: Convergent isocrystals
• La conjecture de Weil. II
• Slope filtration of quasi-unipotent overconvergent \(F\)-isocrystals
• \(L\)-functions associated to overconvergent \(F\)-isocrystals
• Smoothness, semi-stability and alterations
• Log smooth deformation theory
• La conjecture de Weil. I
• Slopes in rigid cohomology and unipotent F-isocrystals
• Some consequences of the Riemann hypothesis for varieties over finite fields
• Clemens-Schmid exact sequence in characteristic \(p\)
• Arithmetic 𝒟-modules on the unit disk. With an appendix by Shigeki Matsuda
• Les Constantes des Equations Fonctionnelles des Fonctions L
• Fonctions L associées aux $\mathcal{D}$-modules arithmétiques. Cas des courbes
• Fourier transforms and $p$-adic ‘Weil II’
• Sur l’indépendance de $l$ en cohomologie $l$-adique sur les corps locaux
• Weight decompositions on étale fundamental groups
• Finiteness theorems for the cohomology of an overconvergent isocrystal on a curve
• Dualité locale et holonomie pour les ${\cal D}$-modules arithmétiques
• Image directe supérieure et unipotence
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
• Facteurs epsilon p-adiques
• Fundamental groups and good reduction criteria for curves over positive characteristic local fields
• Weight-monodromy conjecture over equal characteristic local fields

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