On algebraicity of global real analytic sets and functions

DOI10.1007/BF01393201zbMath0502.32021OpenAlexW2017284172MaRDI QIDQ1172727

Masahiro Shiota, Jacek Bochnak, Wojciech Kucharz

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142972

zbMATH Keywords

algebraicity of analytic functionalgebraicity of global real analytic setsequivalence of analytic hypersurface to algebraic hypersurface

Mathematics Subject Classification ID

Compact analytic spaces (32J99) Moduli, classification: analytic theory; relations with modular forms (14J15) Real-analytic and Nash manifolds (58A07) Real-analytic manifolds, real-analytic spaces (32C05) Real algebraic and real-analytic geometry (14Pxx)

Related Items (7)

Power Series and Smooth Functions Equivalent to a Polynomial ⋮ Almost analytic local algebraicity of analytic sets and functions ⋮ Algebraicity of cycles on smooth manifolds ⋮ Algebraicity of global real analytic hypersurfaces ⋮ Sums of 2n-th powers of real meromorphic functions ⋮ Algebraic models of smooth manifolds ⋮ On homology of real algebraic sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivalence of differentiable mappings and analytic mappings
• On equivalence of ideals of real global analytic functions and the 17th Hilbert problem
• Certain decompositions of BMO-martingales
• Idéaux de fonctions différentiables. I
• Quelques propriétés globales des variétés différentiables
• A Relative Nash Theorem
• Le théorème des zéros pour les variétés analytiques réelles de dimension $2$

This page was built for publication: On algebraicity of global real analytic sets and functions