Expansions of algebraically closed fields in o-minimal structures
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Publication:1612519
DOI10.1007/PL00001405zbMath1010.03027MaRDI QIDQ1612519
Sergei Starchenko, Yaa'cov Peterzil
Publication date: 25 August 2002
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
algebraically closed fieldwinding numbero-minimalitycomplex analysisreal closed fieldChow's theoremanalytic seto-minimal expansion
General theory of conformal mappings (30C35) Nonstandard models in mathematics (03H05) Varieties and morphisms (14A10) Model theory of ordered structures; o-minimality (03C64) Ordered fields (12J15) Model theory of fields (12L12)
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Algebraic differential equations from covering maps ⋮ Model Theory of Analytic Functions: Some Historical Comments ⋮ STRONGLY MINIMAL REDUCTS OF VALUED FIELDS ⋮ Some results and problems on complex germs with definable Mittag-Leffler stars ⋮ Definable one dimensional structures in o-minimal theories ⋮ Definable structures in o-minimal theories: one dimensional types ⋮ Tameness, strings, and the distance conjecture ⋮ Locally \(\mathbb{C}\)-Nash groups ⋮ A Bochnak-Siciak theorem for Nash functions over real closed fields ⋮ Multiplicative structures and random walks in o-minimal groups ⋮ \(R\)-analytic functions ⋮ Unstable structures definable in o-minimal theories ⋮ EXPANSIONS OF ALGEBRAICALLY CLOSED FIELDS II: FUNCTIONS OF SEVERAL VARIABLES ⋮ Strongly minimal groups in o-minimal structures ⋮ Strongly minimal groups in the theory of compact complex spaces ⋮ Piecewise Weierstrass preparation and division for o-minimal holomorphic functions
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