Higher order approximation of analytic sets by topologically equivalent algebraic sets
From MaRDI portal
Publication:1745334
DOI10.1007/s00209-017-1937-5zbMath1393.32012arXiv1602.06933OpenAlexW2963883690MaRDI QIDQ1745334
Marcin Bilski, Krzysztof Kurdyka, Adam Parusiński, Guillaume Rond
Publication date: 17 April 2018
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.06933
algebraic setanalytic setArtin approximationZariski equisingularityorder of tangencytopological equivalence of singularities
Equisingularity (topological and analytic) (32S15) Local complex singularities (32S05) Local deformation theory, Artin approximation, etc. (14B12) Local theory in algebraic geometry (14B99)
Related Items
Cites Work
- Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity
- Algebraic approximation preserving dimension
- Algebricite de certains points singuliers algebroides
- Approximation of analytic sets by Nash tangents of higher order
- Algebraicity versus analyticity
- On approximating submanifolds by algebraic sets and a solution to the Nash conjecture
- Solutions d'un système d'équations analytiques réelles et applications
- Ensembles semi-algébriques symétriques par arcs. (Semi-algebraic sets symmetric by arcs)
- Higher order approximation of complex analytic sets by algebraic sets
- The relation between topological and algebro-geometric equisingularities according to Zariski
- Algebraic approximations in analytic geometry
- On periodic points
- Algebraic approximation of structures over complete local rings
- Local topological algebraicity of analytic function germs
- Power Series and Smooth Functions Equivalent to a Polynomial
- A new proof of D. Popescu’s theorem on smoothing of ring homomorphisms
- Higher Order Tangents to Analytic Varieties along Curves
- General Néron desingularization
- Local algebraic approximation of semianalytic sets
- Rational points in Henselian discrete valuation rings
- THEOREMS ON THE TOPOLOGICAL EQUISINGULARITY OF FAMILIES OF ALGEBRAIC VARIETIES AND FAMILIES OF POLYNOMIAL MAPPINGS
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item