Key polynomials over valued fields

DOI10.5565/PUBLMAT6412009WikidataQ126566831 ScholiaQ126566831MaRDI QIDQ2302177

Enric Nart Viñals

Publication date: 25 February 2020

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08406

zbMATH Keywords

valuationgraded algebrakey polynomialMacLane chainresidual polynomialresidual ideal

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10) Complete rings, completion (13J10)

Related Items (15)

Rigidity of valuative trees under Henselization ⋮ The defect formula ⋮ Geometric parametrization of valuations on a polynomial ring in one variable ⋮ MacLane-Vaquié chains and valuation-transcendental extensions ⋮ Valuations with an infinite limit-depth ⋮ Key polynomials and distinguished pairs ⋮ Computation of residual polynomial operators of inductive valuations ⋮ Of limit key polynomials ⋮ Valuations on \(K[x\) approaching a fixed irreducible polynomial] ⋮ MacLane-Vaquié chains of valuations on a polynomial ring ⋮ On stable and fixed polynomials ⋮ Defectless polynomials over Henselian fields and inductive valuations ⋮ Valuative trees over valued fields ⋮ Invariants of algebraic elements over Henselian fields ⋮ Abstract key polynomials and MacLane-Vaquié chains

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