Parametrizations of subsets of the space of valuations
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Publication:6582335
DOI10.1007/S00209-024-03554-0MaRDI QIDQ6582335
Caio Henrique Silva de Souza, Josnei Novacoski
Publication date: 2 August 2024
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Cites Work
- A theorem of characterization of residual transcendental extensions of a valuation
- Minimal pairs, truncations and diskoids
- On MacLane-Vaquié key polynomials
- Extending valuations to the field of rational functions using pseudo-monotone sequences
- Valuations on \(K[x]\) approaching a fixed irreducible polynomial
- Valuative trees over valued fields
- Cuts and small extensions of abelian ordered groups
- Rigidity of valuative trees under Henselization
- Admissible family of valuations and defect of an extension.
- A construction for absolute values in polynomial rings.
- Untersuchungen zur arithmetischen Theorie der Körper. (Die Theorie der Teilbarkeit in allgemeinen Körpern.) I, II: Struktur bewerteter Körper und Zerlegung von Primdivisoren in algebraischen Erweiterungen. III: Charakterisierung der allgemeinsten Bewertungstypen und der absoluten Riemannschen Fläche für beliebige Körper.
- Maximal fields with valuations. I, II
- Approximation types describing extensions of valuations to rational function fields
- Graded rings associated to valuations and direct limits
- Extension d’une valuation
- Valued Fields
- Geometric parametrization of valuations on a polynomial ring in one variable
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