Artin Approximation

DOI10.5427/jsing.2018.17gzbMath1396.13001arXiv1506.04717OpenAlexW4236326203MaRDI QIDQ4566026

Guillaume Rond

Publication date: 14 June 2018

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04717

zbMATH Keywords

Weierstrass preparation theoremArtin approximationformal, convergent and algebraic power series. Henselian rings

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Germs of analytic sets, local parametrization (32B10) (C^infty)-functions, quasi-analytic functions (26E10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Ultraproducts and related constructions (03C20) Étale and flat extensions; Henselization; Artin approximation (13B40) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Power series rings (13J05) Henselian rings (13J15) Analytic algebras and generalizations, preparation theorems (32B05) Approximation in non-Archimedean valuations (11J61) Local deformation theory, Artin approximation, etc. (14B12) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

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