Motivic cohomology of the Nisnevich classifying space of even Clifford groups

DOI10.4171/dm/931arXiv2302.04772OpenAlexW4391815280MaRDI QIDQ6200599

Fabio Tanania

Publication date: 22 March 2024

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.04772

zbMATH Keywords

characteristic classesClifford groupsmotivic cohomologyNisnevich classifying space

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Motivic cohomology; motivic homotopy theory (14F42)

Cites Work

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• A proof of the Grothendieck-Serre conjecture on principal bundles over regular local rings containing infinite fields
• Cohomology mod 2 of the classifying space of Spin\(^ c(n)\)
• Reduced power operations in motivic cohomology
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Subtle characteristic classes for \(Spin\)-torsors
• Subtle characteristic classes and Hermitian forms
• Essential dimension of spinor and Clifford groups
• Motives over simplicial schemes
• \(\mathbb{A}^1\)-homotopy theory of schemes