Rigidity of valuative trees under Henselization

DOI10.2140/pjm.2022.319.189zbMath1495.13011arXiv2202.02042OpenAlexW4293583509MaRDI QIDQ2171880

Enric Nart Viñals

Publication date: 12 September 2022

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

Full work available at URL: https://arxiv.org/abs/2202.02042

zbMATH Keywords

valuationkey polynomialHenselizationvaluative tree

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)

The defect formula ⋮ Geometric parametrization of valuations on a polynomial ring in one variable ⋮ Valuative trees over valued fields

Cites Work

• Unnamed Item
• A theorem of characterization of residual transcendental extensions of a valuation
• Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane-Vaquié
• Minimal pairs of definition of a residual transcendental extension of a valuation
• On the residual transcendental extensions of a valuation. Key polynomials and augmented valuation
• Key polynomials and minimal pairs
• On common extensions of valued fields
• Of limit key polynomials
• MacLane-Vaquié chains of valuations on a polynomial ring
• Cuts and small extensions of abelian ordered groups
• Key polynomials over valued fields
• Valuations in algebraic field extensions
• 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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