Witt Groups of Varieties and the Purity Problem

DOI10.1007/978-1-4419-6211-9_9zbMath1243.11052OpenAlexW2157854998MaRDI QIDQ3001252

Kirill Zainoulline

Publication date: 31 May 2011

Published in: Quadratic Forms, Linear Algebraic Groups, and Cohomology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-6211-9_9

zbMATH Keywords

purityWitt functorfunctor with transfers

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Regular local rings (13H05) (Co)homology theory in algebraic geometry (14F99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Witt groups of real projective surfaces
• Fibres quadratiques et composantes connexes réelles
• Witt groups of conics, elliptic, and hyperelliptic curves
• Gersten resolution with support
• Witt groups of affine three-folds
• Der Wittring projektiver Räume
• Quadratic forms over semilocal rings
• Derived Witt groups of a scheme
• Variations on the Bloch-Ogus theorem
• The Gersten conjecture for Witt groups in the equicharacteristic case
• On Knebusch's norm principle for quadratic forms over semi-local rings
• Witt groups of Grassmann varieties
• Localisation de formes quadratiques. II
• A purity theorem for the witt group
• Witt Groups of the Punctured Spectrum of a 3-Dimensional Regular Local Ring and a Purity Theorem
• On the Witt groups of projective bundles and split quadrics: geometric reasoning
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields
• The purity problem for functors with transfers
• Witt cohomology, Mayer-Vietoris, homotopy invariance and the Gersten conjecture