An Implicit Function Theorem For Locally Blow-Analytic Functions


Laurentiu Paunescu


Research Report 2000-7
Date: 23 February 2000


In this paper we prove the implicit function theorem for the locally blow-analytic functions and, as an interesting application of using blow-analytic homeomorphisms, we describe a very easy way to resolve analytic curves on analytic varieties.

Key phrases

blow-up. blow-analytic. resolution.

AMS Subject Classification (1991)

Primary: 32S05,32B20


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