Witt groups of affine three-folds

DOI10.1215/S0012-7094-88-05742-0zbMath0674.14029MaRDI QIDQ1121335

Raman Parimala

Publication date: 1988

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Chow groupsalgebraic cyclesWitt grouprational equivalenceunirational affine threefolds

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) (3)-folds (14J30) Quadratic forms over local rings and fields (11E08)

Related Items (19)

Application signature et anneaux archimédiens ⋮ On the Hasse principle for Witt groups ⋮ A Gersten–Witt spectral sequence for regular schemes ⋮ Lower \({\mathcal H}\)-cohomology of higher-dimensional quadrics ⋮ A graded Gersten-Witt complex for schemes with a dualizing complex and the Chow group ⋮ A descent problem for quadratic forms ⋮ Unramified cohomology and Witt groups of anisotropic Pfister quadrics ⋮ The Witt ring of a curve with good reduction over a non-dyadic local field ⋮ The Witt group of real surfaces ⋮ Witt Groups of Varieties and the Purity Problem ⋮ Hasse principle for Witt groups of function fields with special reference to elliptic curves. (Appendix by J.-L. Colliot-Thélène) ⋮ Torsion 1-cycles and the coniveau spectral sequence ⋮ Graded Witt ring and unramified cohomology ⋮ Witt groups of real projective surfaces ⋮ Complex varieties with infinite Chow groups modulo 2 ⋮ The Witt group of real algebraic varieties ⋮ Isotropy of quadratic forms over function fields of \(p\)-adic curves ⋮ Real components of algebraic varieties and étale cohomology ⋮ Non-surjectivity of the Clifford invariant map

Cites Work

• Fibres quadratiques et composantes connexes réelles
• Le groupe de Witt d'une surface réelle. (The Witt group of a real surface)
• A splitting theorem for quadratic forms
• Cohomologische Invarianten quadratischer Formen
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Torsion algebraic cycles, K2, and Brauer groups of function fields
• Gersten's conjecture and the homology of schemes
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