Valuations on \(K[x]\) approaching a fixed irreducible polynomial

DOI10.1016/j.jalgebra.2021.10.041zbMath1480.13006arXiv2106.05765OpenAlexW3212287849MaRDI QIDQ2057238

Josnei Novacoski, Matheus dos Santos Barnabé

Publication date: 9 December 2021

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

Full work available at URL: https://arxiv.org/abs/2106.05765

zbMATH Keywords

Newton polygonsgraded ringskey polynomials

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18)

Related Items (2)

The defect formula ⋮ Graded rings associated to valuations and direct limits

Cites Work

• A theorem of characterization of residual transcendental extensions of a valuation
• A classification of Artin-Schreier defect extensions and characterizations of defectless fields
• Extensions de valuation et polygone de Newton
• Key polynomials and pseudo-convergent sequences
• Key polynomials and minimal pairs
• On MacLane-Vaquié key polynomials
• Extending valuations to the field of rational functions using pseudo-monotone sequences
• MacLane-Vaquié chains of valuations on a polynomial ring
• Key polynomials over valued fields
• Defectless polynomials over Henselian fields and inductive valuations
• Admissible family of valuations and defect of an extension.
• Valuations in algebraic field extensions
• Maximal fields with valuations. I, II
• Limit key polynomials as \(p\)-polynomials
• Extension d’une valuation
• On the construction of valuations and generating sequences on hypersurface singularities
• The Zariski–Riemann space of valuation domains associated to pseudo-convergent sequences
• Valued Fields

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