Coniveau spectral sequence and \(t\)-structure homotopy

DOI10.5802/afst.1417zbMath1314.14045OpenAlexW2318921340MaRDI QIDQ476073

Frédéric Déglise

Publication date: 28 November 2014

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/afst.1417

zbMATH Keywords

hypercohomologysheaf cohomologymotivic homotopy theorymotivic complexesconiveau spectral sequencehomotopy \(t\)-structure

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Motivic cohomology; motivic homotopy theory (14F42) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (3)

The homotopy Leray spectral sequence ⋮ Milnor-Witt cycle modules ⋮ Derived equivalent threefolds, algebraic representatives, and the coniveau filtration

Cites Work

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• Motivically functorial coniveau spectral sequences; direct summands of cohomology of function fields
• Modules homotopiques
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• Generic motives
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Théorie de Hodge. II. (Hodge theory. II)
• Coniveau filtration and mixed motives
• Around the Gysin triangle I
• Gersten's conjecture and the homology of schemes
• Functoriality of the Coniveau Filtration
• Higher Topos Theory (AM-170)

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