On the holomorphic closure dimension of real analytic sets

DOI10.1090/S0002-9947-2011-05276-1zbMath1235.32005arXiv0804.4511MaRDI QIDQ3102722

Janusz Adamus, Rasul Shafikov

Publication date: 7 December 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.4511

zbMATH Keywords

complexificationsemianalytic setsreal analytic setsGabrielov regularityholomorphic closure dimensionCR dimension

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Real submanifolds in complex manifolds (32V40) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (3)

CR-continuation of arc-analytic maps ⋮ Tameness of holomorphic closure dimension in a semialgebraic set ⋮ On Nash approximation of complex analytic sets in Runge domains

Cites Work

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• Real analytic sets in complex spaces and CR maps
• Semianalytic and subanalytic sets
• On Gabrielov's regularity condition for analytic mappings
• On boundaries of complex analytic varieties. I
• Geometric and differential properties of subanalytic sets
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• Variétés analytiques réelles et variétés analytiques complexes
• Uniform Linear Bound in Chevalley’s Lemma

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