On classification of real singularities
type: Item
instance of: scholarly article
title: On classification of real singularities
zbMATH Open document ID: 0587.32018
DOI: 10.1007/BF01388802
author: Tzee-Char Kuo
published in: Inventiones Mathematicae
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143285
review text: The author introduces the notion of blow-analytic equivalence in the theory of real singularities and proves that each analytically parametrized family of isolated singularities is locally finite. In the proof he also adds the notion of blow-analytic equivalence in the theory of complex singularities and makes a comment about the validity of his theorem 1 for isolated complex singularities. The reviewer feels that a detailed discussion is necessary to extend his observation in complex spaces.
Mathematics Subject Classification ID: 32C05
Mathematics Subject Classification ID: 26E05
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 26A30
Mathematics Subject Classification ID: 32C15
Mathematics Subject Classification ID: 14Pxx
zbMATH DE Number: 3941922
zbMATH Keywords: blow-analytic equivalence
zbMATH Keywords: real singularities
zbMATH Keywords: isolated complex singularities
reviewed by: S. K. Chatterjea
MaRDI profile type: Publication
cites work: Q4142043
cites work: The modified analytic trivialization of family of real analytic functions
cites work: Flattening Theorem in Complex-Analytic Geometry
cites work: Q5658366
cites work: Q4189876
cites work: The modified analytic trivialization of singularities
cites work: A theorem on almost analytic equisingularity
cites work: Stratifications de Whitney et théorème de Bertini-Sard
description: scientific article; zbMATH DE number 3941922