Valuative trees over valued fields

DOI10.1016/j.jalgebra.2022.09.014zbMath1505.13005arXiv2107.09813OpenAlexW3186807377MaRDI QIDQ2097241

Joaquim Roé, Maria Alberich-Carramiñana, Jordi Guárdia i Rúbies, Enric Nart Viñals

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/2107.09813

zbMATH Keywords

key polynomialvaluative treeMac Lane-Vaquié chain

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 (3)

Cuts and small extensions of abelian ordered groups ⋮ The defect formula ⋮ Geometric parametrization of valuations on a polynomial ring in one variable

Cites Work

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• The valuative tree
• Computation of residual polynomial operators of inductive valuations
• MacLane-Vaquié chains of valuations on a polynomial ring
• Cuts and small extensions of abelian ordered groups
• Rigidity of valuative trees under Henselization
• Key polynomials over valued fields
• Valuation theory
• Genetics of polynomials over local fields
• Extension d’une valuation
• Value groups, residue fields, and bad places of rational function fields
• A Construction for Absolute Values in Polynomial Rings

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