An ultimate proof of Hoffmann-Totaro's conjecture

DOI10.4171/JEMS/1211zbMath1506.11046OpenAlexW4210276513WikidataQ113691992 ScholiaQ113691992MaRDI QIDQ2098202

Nikita A. Karpenko

Publication date: 17 November 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/1211

zbMATH Keywords

Chow groupsSteenrod operationsquadratic forms over fields

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Algebraic cycles (14C25)

Cites Work

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• Duality and the topological filtration
• Hoffmann's conjecture for totally singular forms of prime degree
• Essential dimension of quadrics
• On the first Witt index of quadratic forms
• Isotropy of quadratic forms over the function field of a quadric in characteristic 2
• Detection by regular schemes in degree two
• Birational geometry of quadrics in characteristic 2
• On the first Steenrod square for Chow groups
• Motivic Steenrod operations in characteristicp

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