Slice filtration on motives and the Hodge conjecture (with an appendix by J. Ayoub)

DOI10.1002/mana.200510712zbMath1181.14028OpenAlexW2089949565WikidataQ122998486 ScholiaQ122998486MaRDI QIDQ3549374

Annette Huber-Klawitter

Publication date: 22 December 2008

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200510712

zbMATH Keywords

weight filtrationmotivesslice filtrationgeneralized Hodge conjecture

Mathematics Subject Classification ID

Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (4)

Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety ⋮ On Chow-weight homology of motivic complexes and its relation to motivic homology ⋮ ADJOINT FUNCTORS ON THE DERIVED CATEGORY OF MOTIVES ⋮ \(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey

Cites Work

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• Homological equivalence, modulo algebraic equivalence, is not finitely generated
• Monodromy of variations of Hodge structure
• Hodge's general conjecture is false for trivial reasons
• Théorie de Hodge. II. (Hodge theory. II)
• Triangulated Categories
• Corrigendum to “Realization of Voevodsky’s motives”
• The slice filtration and mixed Tate motives

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