Algebraic varieties are homeomorphic to varieties defined over number fields
DOI10.4171/CMH/490zbMath1454.14147arXiv1810.00808OpenAlexW3035858717MaRDI QIDQ784197
Guillaume Rond, Adam Parusiński
Publication date: 3 August 2020
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.00808
deformation of singularitiesZariski equisingularityalgorithmic in algebraic geometrysemialgebraic map
Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Semialgebraic sets and related spaces (14P10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Formal methods and deformations in algebraic geometry (14D15)
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Cites Work
- Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity
- Arc-analytic functions
- On classification of real singularities
- Ensembles semi-algébriques symétriques par arcs. (Semi-algebraic sets symmetric by arcs)
- Local topological algebraicity with algebraic coefficients of analytic sets or functions
- The relation between topological and algebro-geometric equisingularities according to Zariski
- Algebraic approximations in analytic geometry
- Sobolev-Gagliardo-Nirenberg and Markov type inequalities on subanalytic domains
- Local topological algebraicity of analytic function germs
- The weight filtration for real algebraic varieties
- The Absolute Galois Group of a Rational Function Field in Characteristic Zero is a Semi-Direct Product
- Semi-Algebraic Local-Triviality in Semi-Algebraic Mappings
- FROM CONTINUOUS RATIONAL TO REGULOUS FUNCTIONS
- THEOREMS ON THE TOPOLOGICAL EQUISINGULARITY OF FAMILIES OF ALGEBRAIC VARIETIES AND FAMILIES OF POLYNOMIAL MAPPINGS
- On Computable Numbers, with an Application to the Entscheidungsproblem
- Recursive Real Numbers
- Algorithms in real algebraic geometry
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