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Constructing blow-analytic isomorphisms

Toshizumi FukuiTzee-Char KuoLaurentiu Paunescu — 2001

Annales de l’institut Fourier

In this paper we construct non-trivial examples of isomorphisms and we obtain, via toric modifications, an inverse function theorem in this category. We also show that any analytic curve in n , n 3 , can be deformed via a rational blow- analytic isomorphism of n , to a smooth analytic arc.

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