Algebraic number field extensions with prescribed trace form

DOI10.1016/0022-314X(92)90032-KzbMath0762.11014OpenAlexW2079470123MaRDI QIDQ1185823

Martin Krüskemper

Publication date: 28 June 1992

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(92)90032-k

zbMATH Keywords

trace formfield extensionpositive quadratic forms

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Other number fields (11R21) Quadratic forms over global rings and fields (11E12)

Related Items (8)

On trace forms of étale algebras and field extensions ⋮ Inequalities between Pythagoras numbers and algebraic ranks in Witt rings of fields ⋮ On trace forms of algebraic number fields ⋮ Quadratic Forms ⋮ On PAC extensions and scaled trace forms ⋮ The \((\alpha,\beta)\)-ramification invariants of a number field ⋮ Characterization of Hermitian trace forms ⋮ The spinor genus of the integral trace

Cites Work

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• Total positivity and algebraic Witt classes
• On the scaled trace forms and the transfer of a number field extension
• Algebraic systems of quadratic forms of number fields and function fields
• Valuation theory
• On trace forms of algebraic number fields

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