Excellent connections in the motives of quadrics

DOI10.24033/asens.2142zbMath1223.14005OpenAlexW2272403273MaRDI QIDQ5392613

Alexander Vishik

Publication date: 13 April 2011

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24033/asens.2142

zbMATH Keywords

quadratic formquadricsplitting patternChow motiveTate motiveWitt indexexcellent quadricmotivic decomposition type

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (11)

Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics ⋮ Group and round quadratic forms ⋮ Algebraic cobordism as a module over the Lazard ring ⋮ Extended Petrov-Semenov's connections ⋮ Motivic equivalence of affine quadrics ⋮ Classification of upper motives of algebraic groups of inner type \(A_n\) ⋮ The Rost nilpotence theorem for geometrically rational surfaces ⋮ Affine quadrics and the Picard group of the motivic category ⋮ A BOUND FOR THE INDEX OF A QUADRATIC FORM AFTER SCALAR EXTENSION TO THE FUNCTION FIELD OF A QUADRIC ⋮ Hopf-theoretic approach to motives of twisted flag varieties ⋮ Shells of twisted flag varieties and the Rost invariant

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