On Nash approximation of complex analytic sets in Runge domains

DOI10.1016/j.jmaa.2014.09.070zbMath1304.32005arXiv1307.6851OpenAlexW2126867252MaRDI QIDQ465397

Janusz Adamus, Marcin Bilski

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6851

zbMATH Keywords

analytic setRunge domainapproximation by Nash sets

Mathematics Subject Classification ID

Real-analytic sets, complex Nash functions (32C07)

Related Items

CR-continuation of arc-analytic maps ⋮ Algebraic approximation of analytic subsets of \(\mathbb C^q\times\{0\}\) in \(\mathbb C^{q+1}\)

Cites Work

• Approximation of analytic sets with proper projection by algebraic sets
• A Runge approximation theorem for pseudo-holomorphic maps
• Survey of Oka theory
• Real analytic sets in complex spaces and CR maps
• Approximation of analytic sets along Nash subvarieties
• On the relative Nash approximation of analytic maps
• The approximation of instantons
• Algebraic approximations of holomorphic maps from Stein domains to projective manifolds
• The Runge approximation problem for holomorphic maps into Grassmannians
• Algebraic approximations in analytic geometry
• Tameness of holomorphic closure dimension in a semialgebraic set
• Algebraic approximation of structures over complete local rings
• Approximation of analytic sets with proper projection by Nash sets
• On the holomorphic closure dimension of real analytic sets
• Continuity of intersection of analytic sets
• Intersection theory in complex analytic geometry
• Extension of holomorphic functions
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