On quadratic forms over semilocal rings

DOI10.1090/tran/7270zbMath1412.11068OpenAlexW2616514233MaRDI QIDQ4561827

Stefan Gille

Publication date: 13 December 2018

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

Full work available at URL: https://doi.org/10.1090/tran/7270

zbMATH Keywords

quadratic formsWitt groups(semi-)local rings

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Quadratic spaces; Clifford algebras (11E88)

Related Items (1)

The Artin-Springer Theorem for quadratic forms over semi-local rings with finite residue fields

Cites Work

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• Rationally isotropic quadratic spaces are locally isotropic. II.
• The Merkuriev--Suslin theorem for any semi-local ring
• An exact sequence for \(K^M_*/2\) with applications to quadratic forms
• Milnor-Witt \(K\)-groups of local rings
• The Gersten conjecture for Milnor \(K\)-theory
• Rationally isotropic quadratic spaces are locally isotropic
• Torsion in \(K_ 2\) of fields
• Cohomologische Invarianten quadratischer Formen
• Quadratic forms over semilocal rings
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Euler class groups and the homology of elementary and special linear groups
• Anneaux locaux henséliens
• Proof of Krull's intersection theorem for the Witt ring
• Pfister forms and \(K\)-theory of fields
• Purity for Pfister forms and F4-torsors with trivial g3 invariant
• A variant of a theorem by Springer
• The Artin-Springer Theorem for quadratic forms over semi-local rings with finite residue fields
• HOMOLOGY OF THE FULL LINEAR GROUP OVER A LOCAL RING, AND MILNOR'SK-THEORY
• \(\mathbb{A}^1\)-homotopy theory of schemes
• Powers of the fundamental ideal in the Witt ring

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