scientific article; zbMATH DE number 4598

zbMath0791.11019MaRDI QIDQ4711042

Nikita A. Karpenko

Publication date: 25 June 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

invariantsquadratic formClifford algebraquadric\(K\)-cohomologyGrothendieck ringChow ringPfister formstopological filtrationBrown-Gersten-Quillen spectral sequence

Mathematics Subject Classification ID

(K)-theory of quadratic and Hermitian forms (11E70) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Relations of (K)-theory with cohomology theories (19E20) Special surfaces (14J25) Quadratic spaces; Clifford algebras (11E88) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

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Zero cycles on some involutive varieties ⋮ Chow groups of quadrics in characteristic two ⋮ A counter-example by Yagita ⋮ Unramified cohomology of quadrics in characteristic two ⋮ 𝑅-equivalence in spinor groups ⋮ Decomposable and indecomposable algebras of degree 8 and exponent 2. ⋮ Zero-cycles with coefficients for the second generalized symplectic involution variety of an algebra of degree 4 ⋮ Cycles of codimension 3 on a projective quadric ⋮ Indecomposable \(p\)-algebras and Galois subfields in generic Abelian crossed products. ⋮ Around 16-dimensional quadratic forms in \(I^3_q\) ⋮ On the integral Hodge conjecture for real varieties. I ⋮ Characterization of minimal Pfister neighbors via Rost projectors ⋮ Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves ⋮ The descent of biquaternion algebras in characteristic two ⋮ Isotropy of six-dimensional quadratic forms over function fields of quadrics ⋮ Cohomological invariants of simply connected groups of rank \(3\) ⋮ Noninjectivity of the cycle class map in continuous -adic cohomology

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