The Arason invariant and mod 2 algebraic cycles

DOI10.1090/S0894-0347-98-00248-3zbMath1025.11009OpenAlexW1699877045MaRDI QIDQ4383165

Kahn, Bruno, Hélène Esnault, Eckart Viehweg, Marc N. Levine

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0894-0347-98-00248-3

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Algebraic cycles (14C25) Galois cohomology of linear algebraic groups (11E72) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (20)

Formes Quadratiques de Dimension 6 ⋮ Degree 2 cohomological invariants of linear algebraic groups ⋮ Degree three cohomological invariants of reductive groups ⋮ Degree three unramified cohomology of adjoint semisimple groups ⋮ Cellular \(\mathbb{A}^1\)-homology and the motivic version of Matsumoto's theorem ⋮ Unitary Grassmannians ⋮ The \(\mathbb G_{m}\)-equivariant motivic cohomology of Stiefel varieties ⋮ The first Suslin homology sheaf of a split simply connected semisimple algebraic group ⋮ Unramified cohomology of degree 3 and Noether's problem ⋮ Relatively unramified elements in cycle modules ⋮ L'invariant de Suslin en caractéristique positive ⋮ Invariants of a quadratic form attached to a tame covering of schemes. ⋮ Characterization of minimal Pfister neighbors via Rost projectors ⋮ Moduli spaces of local systems and higher Teichmüller theory ⋮ The Rost invariant has trivial kernel for quasi-split groups of low rank ⋮ Gerbal central extensions of reductive groups by \(\mathcal{K}_3\) ⋮ Parameterization of factorizable line bundles by \(K\)-theory and motivic cohomology ⋮ Hyperbolicity of certain involutions over the function field of a quadric ⋮ Unramified cohomology of classifying varieties for classical simply connected groups1 ⋮ Unramified degree three invariants of reductive groups

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