Triangulated categories of logarithmic motives over a field

DOI10.24033/ast.1172MaRDI QIDQ5079705

Federico Binda, Doosung Park, Paul Arne Østvær

Publication date: 28 May 2022

Published in: Astérisque (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12298

zbMATH Keywords

Hodge cohomologylogarithmic schemestriangulated motivesnon \(\mathbb{A}^1\)-invariant cohomology theories

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Chain complexes (category-theoretic aspects), dg categories (18G35) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Grothendieck topologies and Grothendieck topoi (18F10) Homotopical algebra, Quillen model categories, derivators (18N40) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30) Logarithmic algebraic geometry, log schemes (14A21) Localizations (e.g., simplicial localization, Bousfield localization) (18N55)

Related Items (10)

CONNECTIVITY AND PURITY FOR LOGARITHMIC MOTIVES ⋮ Motives and homotopy theory in logarithmic geometry ⋮ On the cohomology of reciprocity sheaves ⋮ Hodge cohomology with a ramification filtration. I ⋮ Deligne-Beilinson cohomology and log Hodge theory ⋮ A Hochschild-Kostant-Rosenberg theorem and residue sequences for logarithmic Hochschild homology ⋮ GYSIN TRIANGLES IN THE CATEGORY OF MOTIFS WITH MODULUS ⋮ Derived log Albanese sheaves ⋮ Cohomology of the moduli stack of algebraic vector bundles ⋮ Reciprocity sheaves and logarithmic motives

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