A construction for a class of valuations of the field \(k(X_1,\cdots ,X_d,Y)\) with large value group

DOI10.1016/j.jalgebra.2007.06.007zbMath1229.12007OpenAlexW2015448896MaRDI QIDQ926842

Mohammad Moghaddam

Publication date: 21 May 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.06.007

zbMATH Keywords

orderingvaluationkey polynomialquasi-ordinary singularitysemi-root

Mathematics Subject Classification ID

Valued fields (12J10) General valuation theory for fields (12J20)

Related Items (4)

Generating sequences and semigroups of valuations on 2-dimensional normal local rings ⋮ Extensions of valuations to the Henselization and completion ⋮ Ramification of Valuations and Local Rings in Positive Characteristic ⋮ Extensions of valuations to the Henselization and completion of a local ring

Uses Software

• SINGULAR

Cites Work

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• Noetherian rings of generalized power series
• Toric embedded resolutions of quasi-ordinary hypersurface singularities
• On the analytical invariance of the semigroups of a quasi-ordinary hypersurface singularity
• Zero-dimensional branches of rank one on algebraic varieties
• Value groups, residue fields, and bad places of rational function fields

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