On the integral part of \(A\)-motivic cohomology

DOI10.1112/S0010437X24007218MaRDI QIDQ6622794

Quentin Gazda

Publication date: 22 October 2024

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

zbMATH Keywords

motivic cohomologymaximal modelAnderson \(t\)-motiveextensions group

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Motivic cohomology; motivic homotopy theory (14F42)

Cites Work

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• Period spaces for Hodge structures in equal characteristic
• A Dirichlet unit theorem for Drinfeld modules
• A dictionary between Fontaine-theory and its analogue in equal characteristic
• Slope filtrations
• Higher regulators and values of \(L\)-functions
• \(t\)-motives
• Mixed motives and algebraic K-theory. (Almost unchanged version of the author's habilitation at Univ. Regensburg 1988)
• The structure of analytic \(\tau\)-sheaves.
• A Galois criterion for good reduction of \(\tau\)-sheaves.
• A Weil-Barsotti formula for Drinfeld modules.
• Tate modules of isocrystals and good reduction of Drinfeld modules
• \(t\)-motives: Hodge structures, transcendence and other motivic aspects
• A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives
• Pink's theory of Hodge structures and the Hodge conjecture over function fields
• 1-\(t\)-motifs
• Artin \(t\)-motifs
• Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
• Exact categories
• Isogenies of abelian Anderson A-modules and A-motives
• Sheaves and Functions Modulo <I>p</I>
• The Tate Conjecture for t-Motives
• 𝐿-functions of 𝜑-sheaves and Drinfeld modules
• Projective modules over polynomial rings

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