Admissible family of valuations and defect of an extension.
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Publication:2370155
DOI10.1016/j.jalgebra.2007.02.038zbMath1121.13007OpenAlexW2077967194MaRDI QIDQ2370155
Publication date: 22 June 2007
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.02.038
Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10)
Related Items (25)
Valuations in algebraic field extensions ⋮ Key polynomials ⋮ The role of defect and splitting in finite generation of extensions of associated graded rings along a valuation ⋮ Limit key polynomials as \(p\)-polynomials ⋮ Generating sequences and key polynomials ⋮ Graded rings associated to valuations and direct limits ⋮ Erratic birational behavior of mappings in positive characteristic ⋮ Valuations with an infinite limit-depth ⋮ Approximate roots of a valuation and the Pierce-Birkhoff conjecture ⋮ Effective Kaplansky's theorem for valuation of rank 1 centered on complete regular local rings ⋮ Defect of an extension, key polynomials and local uniformization ⋮ Residual ideals of MacLane valuations ⋮ Ramification of Valuations and Local Rings in Positive Characteristic ⋮ On the Pierce-Birkhoff conjecture ⋮ Minimal pairs, truncations and diskoids ⋮ On MacLane-Vaquié key polynomials ⋮ Computation of residual polynomial operators of inductive valuations ⋮ On common extensions of valued fields ⋮ Extensions de valuation et polygone de Newton ⋮ Valuations on \(K[x\) approaching a fixed irreducible polynomial] ⋮ MacLane-Vaquié chains of valuations on a polynomial ring ⋮ Defectless polynomials over Henselian fields and inductive valuations ⋮ Defect and local uniformization ⋮ Invariants of algebraic elements over Henselian fields ⋮ Resolution of Singularities: An Introduction
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