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. |