Of limit key polynomials

DOI10.1215/00192082-8827671zbMath1472.13007arXiv2005.04406OpenAlexW3117301571MaRDI QIDQ2039729

Julio Fernández, Joaquim Roé, Maria Alberich-Carramiñana, Enric Nart Viñals, Jordi Guárdia i Rúbies, Alberto Fernandez Boix

Publication date: 5 July 2021

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

Full work available at URL: https://arxiv.org/abs/2005.04406

zbMATH Keywords

valuationabstract key polynomialMacLane-Vaquie key polynomial

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Valuations and their generalizations for commutative rings (13A18) Complete rings, completion (13J10) General valuation theory for fields (12J20)

Related Items (6)

Cuts and small extensions of abelian ordered groups ⋮ Rigidity of valuative trees under Henselization ⋮ Limit key polynomials as \(p\)-polynomials ⋮ MacLane-Vaquié chains and valuation-transcendental extensions ⋮ A characterization for the defect of rank one valued field extensions ⋮ Abstract key polynomials and MacLane-Vaquié chains

Cites Work

• Unnamed Item
• Defect of an extension, key polynomials and local uniformization
• Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane-Vaquié
• Key polynomials and pseudo-convergent sequences
• Key polynomials and minimal pairs
• Key polynomials over valued fields
• The defect
• On the local uniformization problem
• Extension d’une valuation
• A Construction for Absolute Values in Polynomial Rings

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