Wanke Yin, U. Rouen, France

Convergence of formal equivalences between real analytic hypersurfaces in Cn

 

Abstract

Let (M, p) and (M*, p*) be two real analytic hypersurfaces in Cn. In this talk, we will talk about when a formally biholomorphic mapping sending (M, p) to (M*, p*) must be holomorphic. In particular, when n = 2, we will give an affirmative answer to this problem if (M, p) is not formally equvilent to the standard Levi-flat hyperpane (which is a necessary condition). This is a joint work with Nordine Mir.