Effective Kaplansky's theorem for valuation of rank 1 centered on complete regular local rings

DOI10.5802/aif.2877zbMath1306.13013arXiv1203.4283OpenAlexW2952295371MaRDI QIDQ486791

Jean-Christophe San Saturnino

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4283

zbMATH Keywords

valuationPuiseux expansio

Mathematics Subject Classification ID

Valuation rings (13F30) Formal power series rings (13F25) Witt vectors and related rings (13F35)

Related Items (1)

On the algebraicity of generalized power series

Cites Work

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• Extensions de valuation et polygone de Newton
• Maximally complete fields
• Admissible family of valuations and defect of an extension.
• Valuations in algebraic field extensions
• Key polynomials
• Maximal fields with valuations
• Two Notes on Formal Power Series
• Extension d’une valuation
• Allgemeine Bewertungstheorie.
• Power series and \(p\)-adic algebraic closures

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