Lower \({\mathcal H}\)-cohomology of higher-dimensional quadrics

DOI10.1007/BF01195094zbMath0831.11030MaRDI QIDQ1901988

Kahn, Bruno

Publication date: 18 February 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Witt ringétale cohomologyPfister formChow groupsfunction field of a quadriccokernelAlbert formkernel of the cycle class mapunramified Witt class

Mathematics Subject Classification ID

Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Witt groups of rings (19G12) Étale and other Grothendieck topologies and (co)homologies (14F20) Real algebraic and real-analytic geometry (14P99) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items

A generalization of Serre's condition (F) with applications to the finiteness of unramified cohomology, A descent problem for quadratic forms, Chow groups of quadrics in characteristic two, Unramified cohomology and Witt groups of anisotropic Pfister quadrics, Unramified cohomology of quadrics in characteristic two, Cohomological Invariants of Central Simple Algebras with Involution, On the indecomposable quadratic forms of the image of the homomorphism \(W(F) \to W(F(\varphi))\), Conic bundle fourfolds with nontrivial unramified Brauer group, Unramified cohomology of quadrics. II.

Cites Work

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• Quadratic forms of height and degree 2
• Gersten's conjecture and the homology of schemes
• Unramified cohomology of quadrics, I
• Unramified cohomology and Witt groups of anisotropic Pfister quadrics