The quadratic form transfer and valuations

DOI10.1007/BF02567043zbMath0781.11016MaRDI QIDQ1803882

Martin Krüskemper

Publication date: 29 June 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155768

zbMATH Keywords

Witt ringsdiscrete valuationscaled trace formstransfer mapsexplicit reciprocity lawsKnebusch's trace formularesidue class maps

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Valued fields (12J10)

Cites Work

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• Witt groups of conics, elliptic, and hyperelliptic curves
• On the scaled trace forms and the transfer of a number field extension
• Witt rings of fields of quotients of two-dimensional regular local rings
• Algebraic systems of quadratic forms of number fields and function fields
• On the extension of real places
• Zur Theorie quadratischer Formen über Hensel-Körpern
• Ein Residuensatz für symmetrische Bilinearformen
• Quadratic reciprocity laws
• Valuation theory

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