Erratic birational behavior of mappings in positive characteristic
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Publication:6144869
DOI10.1002/mana.202200003arXiv2111.12818OpenAlexW3217112770MaRDI QIDQ6144869
Publication date: 8 January 2024
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.12818
Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10)
Cites Work
- A simpler proof of toroidalization of morphisms from 3-folds to surfaces
- Ramification of valuations
- A classification of Artin-Schreier defect extensions and characterizations of defectless fields
- Monomialization of morphisms from 3-folds to surfaces
- Dependent Artin-Schreier defect extensions and strong monomialization
- Local uniformization on algebraic surfaces over ground fields of characteristic \(p\neq 0\)
- Desingularization of two-dimensional schemes
- On the Jung method in positive characteristic.
- Counting the number of distinct distances of elements in valued field extensions
- Key polynomials and pseudo-convergent sequences
- Counterexamples to local monomialization in positive characteristic
- Admissible family of valuations and defect of an extension.
- The role of defect and splitting in finite generation of extensions of associated graded rings along a valuation
- Resolution of singularities of arithmetical threefolds
- Valuation theory
- Local monomialization of transcendental extensions.
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Maximal fields with valuations
- Reduction of the singularities of algebraic three dimensional varieties
- Valuations in Function Fields of Surfaces
- On the Valuations Centered in a Local Domain
- Resolution of singularities for 3-folds in positive characteristic
- Torification and factorization of birational maps
- Valuation theoretic and model theoretic aspects of local uniformization
- On the construction of valuations and generating sequences on hypersurface singularities
- Desingularization: Invariants and Strategy
- Valuation semigroups of two‐dimensional local rings
- Toroidalization of dominant morphisms of 3-folds
- Ramification of Valuations and Local Rings in Positive Characteristic
- The valuation theory of deeply ramified fields and its connection with defect extensions
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