Residual ideals of MacLane valuations

DOI10.1016/j.jalgebra.2014.12.022zbMath1317.13006arXiv1305.0775OpenAlexW2963458632MaRDI QIDQ2259148

Julio Fernández, Jesús Montes, Enric Nart Viñals, Jordi Guárdia i Rúbies

Publication date: 27 February 2015

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

Full work available at URL: https://arxiv.org/abs/1305.0775

zbMATH Keywords

Newton polygonvaluationkey polynomialMacLane chainresidual polynomialaugmentation of valuationgraded algebra of valuationMacLane's inductive valuationsOkutsu invariantsresidual ideal

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10) Complete rings, completion (13J10) Polynomials (11S05)

Related Items (6)

Explicit minimal embedded resolutions of divisors on models of the projective line ⋮ Transcendental extensions of a valuation domain of rank one ⋮ Triangular bases of integral closures ⋮ On the equivalence of types ⋮ Computation of residual polynomial operators of inductive valuations ⋮ Defectless polynomials over Henselian fields and inductive valuations

Cites Work

• A new computational approach to ideal theory in number fields
• Construction of integral basis. II
• Extensions de valuation et polygone de Newton
• On the structure of the irreducible polynomials over local fields
• Admissible family of valuations and defect of an extension.
• Valuations in algebraic field extensions
• Genetics of polynomials over local fields
• Okutsu invariants and Newton polygons
• Extension d’une valuation
• Newton polygons of higher order in algebraic number theory
• Local computation of differents and discriminants

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