Quadratic forms over dyadic valued fields. I: The graded Witt ring

DOI10.2140/pjm.1987.126.21zbMath0606.10013OpenAlexW2157284161MaRDI QIDQ1084434

Bill Jacob

Publication date: 1987

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1987.126.21

zbMATH Keywords

homology groupsgraded Witt ringmultiquadratic extensions2-Henselian dyadic, discretely valued fieldamenability problemtriquadratic extensionWitt ring complex

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Galois cohomology (12G05) General binary quadratic forms (11E16) Valued fields (12J10)

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Graded Hermitian forms and Springer's theorem ⋮ The Witt group of a discretely valued field ⋮ Witt equivalence of function fields over global fields ⋮ Witt equivalence of fields: A survey with a special emphasis on applications of hyperfields ⋮ Quadratic forms over dyadic valued fields. II: Relative rigidity and Galois cohomology ⋮ Wild Pfister forms over Henselian fields, \(K\)-theory, and conic division algebras ⋮ Quadratic Forms