Equivalence relations for two variable real analytic function germs
نویسندگان
چکیده
منابع مشابه
Equivalence Relations for Two Variable Real Analytic Function Germs
For two variable real analytic function germs we compare the blowanalytic equivalence in the sense of Kuo to the other natural equivalence relations. Our main theorem states that C equivalent germs are blow-analytically equivalent. This gives a negative answer to a conjecture of Kuo. In the proof we show that the Puiseux pairs of real Newton-Puiseux roots are preserved by the C equivalence of f...
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Blow-analytic equivalence is a notion for real analytic function germs, introduced by Tzee-Char Kuo in order to develop the real analytic equisingularity theory. In this paper we give several complete characterisations of blow-analytic equivalence in the two dimensional case in terms of the minimal resolutions, the real tree model for the arrangement of Newton-Puiseux roots, and the cascade blo...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2013
ISSN: 0025-5645
DOI: 10.2969/jmsj/06510237