Invariants birationnels dans la suite spectrale de Bloch-Ogus

DOI10.1017/is012004021jkt191zbMath1275.14007arXiv1106.3001OpenAlexW2964262336MaRDI QIDQ4911310

Alena Pirutka

Publication date: 14 March 2013

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3001

zbMATH Keywords

cycle modulesBloch-Ogus spectral sequenceapplication classe de cycle (birational invariantscycle class map)invariants birationnelsmodules de cyclessuite spectrale de Bloch-Ogus

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) (Equivariant) Chow groups and rings; motives (14C15) Birational geometry (14E99)

Related Items (3)

On the cohomology of reciprocity sheaves ⋮ Cycles, derived categories, and rationality ⋮ Vanishing theorems and Brauer–Hasse–Noether exact sequences for the cohomology of higher-dimensional fields

Cites Work

• A finiteness theorem for zero-cycles over \(p\)-adic fields
• Transfers on Chow groups with coefficients
• Some observations on motivic cohomology of arithmetic schemes
• Two comparison theorems in étale cohomology; applications
• Values of Zeta Functions of Varieties Over Finite Fields
• Gersten's conjecture and the homology of schemes
• Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini

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