Dualité complexe entre sous-variétés réelles dans ${\mathbb{P}}^2(\mathbb{C})$

Abstract

We introduce a notion of semi-legendrian real submanifold in a complex manifold of dimension 3 and prove that real submanifolds of ${\mathbb{C}}^2$ can be uniquely lifted to ${\mathbb{C}}^3$. Then we deduce a complex duality between real submanifolds of ${\mathbb{P}}^2(\mathbb{C})$.

In french