Invariants of degree 3 and torsion in the Chow group of a versal flag

DOI10.1112/S0010437X14008057zbMath1329.14017arXiv1312.0842OpenAlexW2167736867MaRDI QIDQ2947351

Kirill Zainoulline, Alexander Neshitov, Alexander S. Merkurjev

Publication date: 22 September 2015

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

Full work available at URL: https://arxiv.org/abs/1312.0842

zbMATH Keywords

Galois cohomologytorsorChow grouplinear algebraic groupcohomological invariant

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) (Equivariant) Chow groups and rings; motives (14C15) Galois cohomology of linear algebraic groups (11E72)

Related Items (8)

Chow rings of versal complete flag varieties ⋮ The \(K\)-theory of versal flags and cohomological invariants of degree 3 ⋮ Rost multipliers of lifted Kronecker tensor products ⋮ A universal coefficient theorem with applications to torsion in Chow groups of Severi-Brauer varieties ⋮ The gamma filtrations for the spin groups ⋮ Functorality of the gamma filtration and computations for some twisted flag varieties ⋮ Kunneth formula for graded rings associated to 𝐾-theories of Rost motives ⋮ Chow groups of products of Severi-Brauer varieties and invariants of degree 3

Cites Work

• Cohomological invariants of algebraic tori
• Equivariant pretheories and invariants of torsors
• La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmique. (The Gersten conjecture for the logarithmic Hodge-Witt sheaves)
• Discriminant of symplectic involutions
• On a theorem of Pittie
• Galois cohomology in degree three and homogeneous varieties
• Codimension 2 cycles on Severi-Brauer varieties
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• On the algebraic \(K\)-theory of twisted flag varieties
• Decomposable and indecomposable algebras of degree 8 and exponent 2.
• Twisted gamma filtration of a linear algebraic group

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