All valuations on K(X)
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Publication:804641
DOI10.1215/KJM/1250520072zbMath0728.12010OpenAlexW1558279373WikidataQ105439807 ScholiaQ105439807MaRDI QIDQ804641
Alexandru Zaharescu, Victor Alexandru, Nicolae Popescu
Publication date: 1990
Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/kjm/1250520072
valuationsrational function fieldvalue groupresidual transcendental extensionslimit valuationordered system of valuationsresidual algebraic torsion extensionsresidual algebraic torsion free extensionsresidue class field
Related Items (22)
Some elementary remarks about \(n\)-local fields ⋮ Prüfer intersection of valuation domains of a field of rational functions ⋮ On the extension of a valuation on a field \(K\) to \(K(X)\). II ⋮ Value groups, residue fields, and bad places of rational function fields ⋮ On the closed subfields of \(C_p\) ⋮ Approximation types describing extensions of valuations to rational function fields ⋮ Tame fields and distinguished pairs ⋮ Extensions of valuations to rational function fields over completions ⋮ Transcendental extensions of a valuation domain of rank one ⋮ Geometric parametrization of valuations on a polynomial ring in one variable ⋮ The Zariski–Riemann space of valuation domains associated to pseudo-convergent sequences ⋮ On residual algebraic torsion extensions of a valuation of a field \(K(x_1,\dots,x_n)\) ⋮ On the extension of valuations on a field \(K\) to \(K(X)\). I ⋮ Valuation rings in Ore extensions ⋮ Minimal pairs, truncations and diskoids ⋮ Summary on non-Archimedean valued fields ⋮ Extending valuations to the field of rational functions using pseudo-monotone sequences ⋮ MacLane-Vaquié chains of valuations on a polynomial ring ⋮ On truncations of valuations ⋮ Néron desingularization of extensions of valuation rings (with an appendix by Kęstutis Česnavičius) ⋮ Extension d’une valuation ⋮ On the implicit constant fields and key polynomials for valuation algebraic extensions
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