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

DOI10.1090/proc/13744zbMath1386.11068arXiv1602.07739OpenAlexW2962877491MaRDI QIDQ4590960

Stephen Scully

Publication date: 21 November 2017

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

Full work available at URL: https://arxiv.org/abs/1602.07739

zbMATH Keywords

quadratic formssemilocal ringsArtin-Springer theorem

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Quadratic forms over local rings and fields (11E08)

Related Items (6)

A purity theorem for quadratic spaces ⋮ Problems about torsors over regular rings ⋮ Grothendieck–Serre in the quasi-split unramified case ⋮ On quadratic forms over semilocal rings ⋮ An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution ⋮ Springer's odd degree extension theorem for quadratic forms over semilocal rings

Cites Work

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• Rationally isotropic quadratic spaces are locally isotropic. II.
• Milnor-Witt \(K\)-groups of local rings
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• Purity of \(G_2\)-torsors
• Isometrien über semilokalen Ringen
• Purity for Pfister forms and F4-torsors with trivial g3 invariant
• A variant of a theorem by Springer
• A purity theorem for the witt group
• On quadratic forms over semilocal rings

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