Mixed motivic sheaves (and weights for them) exist if ‘ordinary’ mixed motives do
DOI10.1112/S0010437X14007763zbMath1327.14031arXiv1105.0420OpenAlexW3101462963MaRDI QIDQ5259733
Mikhail Vladimirovich Bondarko
Publication date: 29 June 2015
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.0420
triangulated categoriesweight filtrationmotivesperverse sheavesweight structuresétale homologymixed motivic sheaves
Spectral sequences, hypercohomology (18G40) Étale and other Grothendieck topologies and (co)homologies (14F20) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)
Related Items (5)
Cites Work
- Unnamed Item
- \(f\)-cohomology and motives over number rings
- Weight structures and `weights' on the hearts of \(t\)-structures
- Motives, numerical equivalence, and semi-simplicity
- Graded associative algebras and Grothendieck standard conjectures
- Mixed motives and algebraic cycles. III
- Motivic decomposition and intersection Chow groups. I.
- Triangulated Categories
- Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)
- ℤ[1/p-motivic resolution of singularities]
- Structure de poids à la Bondarko sur les motifs de Beilinson
- General Néron desingularization and approximation
- Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura
- The slice filtration and mixed Tate motives
- Weight-monodromy conjecture over equal characteristic local fields
This page was built for publication: Mixed motivic sheaves (and weights for them) exist if ‘ordinary’ mixed motives do
