EXPANSIONS OF ALGEBRAICALLY CLOSED FIELDS II: FUNCTIONS OF SEVERAL VARIABLES

DOI10.1142/S0219061303000224zbMath1028.03033OpenAlexW2141032297MaRDI QIDQ4408480

Yaa'cov Peterzil, Sergei Starchenko

Publication date: 29 June 2003

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219061303000224

zbMATH Keywords

o-minimal structurescomplex analysis of several variables

Mathematics Subject Classification ID

Nonstandard models in mathematics (03H05) Non-Archimedean function theory (30G06) Model theory of ordered structures; o-minimality (03C64) Model theory of fields (12L12) Holomorphic functions of several complex variables (32A99)

Related Items (10)

Algebraic differential equations from covering maps ⋮ The Ax-Schanuel conjecture for variations of Hodge structures ⋮ 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 ⋮ Lectures on the Ax–Schanuel conjecture ⋮ \(R\)-analytic functions ⋮ Complex analytic geometry and analytic-geometric categories ⋮ Strongly minimal groups in the theory of compact complex spaces ⋮ Piecewise Weierstrass preparation and division for o-minimal holomorphic functions

Cites Work

• \(p\)-adic and real subanalytic sets
• Expansions of algebraically closed fields in o-minimal structures
• On the elementary theory of restricted elementary functions
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