A classification of Artin-Schreier defect extensions and characterizations of defectless fields
From MaRDI portal
Publication:648747
zbMath1234.12007arXiv1003.5639MaRDI QIDQ648747
Publication date: 28 November 2011
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.5639
Related Items
The valuation theory of deeply ramified fields and its connection with defect extensions, Continuity of roots for polynomials over valued fields, On the non-uniqueness of maximal purely wild extensions, Henselianity in the language of rings, The relative approximation degree in valued function fields, Counting the number of distinct distances of elements in valued field extensions, Valued fields with finitely many defect extensions of prime degree, The algebra and model theory of tame valued fields, Limit key polynomials as \(p\)-polynomials, Approximation types describing extensions of valuations to rational function fields, Unnamed Item, Extensions of valuations to rational function fields over completions, Distances of elements in valued field extensions, Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5--11, 2023, Defect extensions and a characterization of tame fields, The model theory of separably tame valued fields, Dependent Artin-Schreier defect extensions and strong monomialization, On maximal immediate extensions of valued fields, Erratic birational behavior of mappings in positive characteristic, A generalisation of the Abhyankar Jung theorem to associated graded rings of valuations, A characterization for the defect of rank one valued field extensions, Definable V-topologies, Henselianity and NIP, Approximation of elements in Henselizations, Characterization of extremal valued fields, Minimal pairs, minimal fields and implicit constant fields, Algebraic independence of elements in immediate extensions of valued fields, Elimination of ramification I: The generalized stability theorem, Infinite towers of Galois defect extensions of Kaplansky fields, Immediately algebraically closed fields, Every place admits local uniformization in a finite extension of the function field, Valuations on \(K[x\) approaching a fixed irreducible polynomial], Extensions of valuations to the Henselization and completion of a local ring, Selected methods for the classification of cuts, and their applications, Correction and notes to the paper ``A classification of Artin-Schreier defect extensions and characterizations of defectless fields, Corrections and notes to “Value groups, residue fields and bad places of rational function fields”, Defect and local uniformization
Cites Work
- Ramification of valuations
- Approximation of elements in Henselizations
- Every place admits local uniformization in a finite extension of the function field
- Immediate and purely wild extensions of valued fields
- Local uniformization on algebraic surfaces over ground fields of characteristic \(p\neq 0\)
- Eliminating wild ramification
- Valuation theory
- Maximal fields with valuations
- Elementary properties of power series fields over finite fields
- Elimination of ramification I: The generalized stability theorem
- Note on a result of Krull
- Abhyankar places admit local uniformization in any characteristic
- Allgemeine Bewertungstheorie.
- Value groups, residue fields, and bad places of rational function fields
- Extremal Valued Fields
- Characterization of extremal valued fields
- Additive Polynomials and Their Role in the Model Theory of Valued Fields
- Valued Fields
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
