Fukui, Toshizumi Seeking invariants for blow-analytic equivalence. (English) Zbl 0873.32008 Compos. Math. 105, No. 1, 95-108 (1997). T.-C.Kuo introduced the notion of blow-analytic equivalence, and proved a satisfactory finite classification theorem [T.-C. Kuo, Invent. Math. 82, 257-262 (1985; Zbl 0587.32018)]. In [T.-C. Kuo, J. Math. Soc. Japan 32, 605-614 (1980; Zbl 0509.58007); T. Fukui and E. Yoshinaga, Invent. Math. 82, 467-477 (1985; Zbl 0559.58005); T. Fukui, J. Math. Soc. Japan 44, No. 3, 455-459 (1992; Zbl 0766.58008)], some theorems were proved which assert that several families are blow-analytically trivial. The next problem is to find criteria that two function-germs are not blow-analytically equivalent. The author introduces some blow-analytic invariants of real analytic function-germs and discusses their properties. As a consequence, it is obtained, for instance, that the multiplicity of function-germs is a blow-analytic invariant. Reviewer: V.A.Chernecky (Odessa) Cited in 3 ReviewsCited in 13 Documents MSC: 32C07 Real-analytic sets, complex Nash functions Keywords:blow-analytic equivalence; real-analytic sets; resolution Citations:Zbl 0587.32018; Zbl 0509.58007; Zbl 0559.58005; Zbl 0766.58008 PDFBibTeX XMLCite \textit{T. Fukui}, Compos. Math. 105, No. 1, 95--108 (1997; Zbl 0873.32008) Full Text: DOI