A remark on the Gersten complex for Milnor \(K\)-theory

DOI10.2140/pjm.2022.318.295zbMath1504.19003arXiv2105.06962OpenAlexW4293577965MaRDI QIDQ2168223

Rakesh Pawar

Publication date: 31 August 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.06962

zbMATH Keywords

Gersten complexMilnor \(K\)-theory

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Motivic cohomology; motivic homotopy theory (14F42) Higher symbols, Milnor (K)-theory (19D45)

Related Items (1)

Milnor-Witt cycle modules over an excellent DVR

Cites Work

• A finiteness theorem for zero-cycles over \(p\)-adic fields
• Motivic cohomology over Dedekind rings
• The Gersten conjecture for Milnor \(K\)-theory
• Algebraic cycles and higher K-theory
• Chow groups with coefficients
• The \(K\)-theory of fields in characteristic \(p\)
• A Nisnevich local Bloch-Ogus theorem over a general base
• Gabber's presentation lemma over Noetherian domains
• Algebraization for zero-cycles and the \(p\)-adic cycle class map
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Milnor 𝐾-theory of local rings with finite residue fields
• Higher algebraic K-theory: I
• Gersten's conjecture and the homology of schemes
• Cycles, Transfers, and Motivic Homology Theories. (AM-143)
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