Fukui, Toshizumi; Kuo, Tzee-Char; Paunescu, Laurentiu Constructing blow-analytic isomorphisms. (English) Zbl 0984.32005 Ann. Inst. Fourier 51, No. 4, 1071-1087 (2001). The authors investigate in detail the blow-analytic homeomorphisms. In particular they establish an inverse maping theorem in this category of maps. Reviewer: A.Dimca (Bordeaux) Cited in 1 ReviewCited in 3 Documents MSC: 32B20 Semi-analytic sets, subanalytic sets, and generalizations Keywords:real analytic singularities; blow-analytic homeomorphisms PDFBibTeX XMLCite \textit{T. Fukui} et al., Ann. Inst. Fourier 51, No. 4, 1071--1087 (2001; Zbl 0984.32005) Full Text: DOI Numdam Numdam EuDML References: [1] The geometry of toric varieties, Russian Math. Surveys, 33, 97-154 (1978) · Zbl 0425.14013 · doi:10.1070/RM1978v033n02ABEH002305 [2] The geometry of topological stability, 9 (1995) · Zbl 0870.57001 [3] Blow-analytic equisingularities, properties, problems and progress, Real analytic and algebraic singularities, 381, 8-29 (1997) · Zbl 0954.26012 [4] Resolution of Singularities of an algebraic variety over a field of characteristic zero, I-II, Ann. of Math., 97 (1964) · Zbl 0122.38603 [5] On Blow-analytic equivalence of embedded curve singularities, Real analytic and algebraic singularities, 381, 30-37 (1997) · Zbl 0899.32002 [6] Generalized Newton - Puiseux Theory and Hensel’s Lemma in \({\Bbb C}[[x,y]]\), Can. J. Math., XLI, 6, 1101-1116 (1989) · Zbl 0716.13015 [7] A Simple Algorithm For Deciding Primes \(In {\Bbb K}[[x,y]]\), Can. J. Math., 47, 4, 801-816 (1995) · Zbl 0857.13019 · doi:10.4153/CJM-1995-041-9 [8] The modified analytic trivialization of singularities, J. Math. Soc. Japan, 32, 605-614 (1980) · Zbl 0509.58007 · doi:10.2969/jmsj/03240605 [9] On classification of real singularities, Invent. Math., 82, 257-262 (1985) · Zbl 0587.32018 · doi:10.1007/BF01388802 [10] A Theorem on almost analytic equisingularity, J. Math. Soc. Japan, 33, 471-484 (1981) · Zbl 0476.58004 · doi:10.2969/jmsj/03330471 [11] Convex bodies and algebraic geometry, 3, Folge Band, 14 (1987) · Zbl 0628.52002 [12] An example of blow-analytic homeomorphism, Real analytic and algebraic singularities, 381, 62-63 (1997) · Zbl 0896.58012 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.