1-motivic sheaves and the Albanese functor

DOI10.1016/j.jpaa.2008.10.002zbMath1163.14003arXivmath/0607738OpenAlexW2089260550MaRDI QIDQ1004484

Joseph Ayoub, Luca Barbieri-Viale

Publication date: 10 March 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607738

zbMATH Keywords

derived categoryGrothendieck topologymotivesmooth \(k\)-scheme

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Picard schemes, higher Jacobians (14K30) Picard groups (14C22) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Motivic cohomology; motivic homotopy theory (14F42) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (13)

Motives and homotopy theory in logarithmic geometry ⋮ The \(n\)-motivic \(t\)-structures for \(n=0,1\) and \(2\) ⋮ Punctual gluing of \(t\)-structures and weight structures ⋮ Algebraic \(K\)-theory. Abstracts from the workshop held May 8--14, 2022 ⋮ Artin perverse sheaves ⋮ Derived log Albanese sheaves ⋮ The Berkovich realization for rigid analytic motives ⋮ Triangulated categories of relative 1-motives ⋮ ADJOINT FUNCTORS ON THE DERIVED CATEGORY OF MOTIVES ⋮ The derived functors of unramified cohomology ⋮ Nori 1-motives ⋮ Motivic periods and Grothendieck arithmetic invariants ⋮ \(\mathbb A^1\)-equivalence of zero cycles on surfaces. II

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• Gersten's conjecture and the homology of schemes
• Sheafifiable homotopy model categories
• Simplicial homotopy theory
• \(\mathbb{A}^1\)-homotopy theory of schemes
• Duality of Albanese and Picard 1-motives

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