Holomorphic extension from weakly pseudoconcave CR manifolds

Thus, every positive global extension theorem about CR functions extends to be a result about meromorphic CR mappings, provided one can prove by local techniques that they

For mappings in the same di- mension, Baouendi and Rothschild [7], [5] (for the hypersurface case) and Baouendi, Ebenfelt and Rothschild [3] proved that holomorphic nonde- generacy is

In the case of question 1) the situation can be drastically different from the spirit of the result of T. In fact, the proofs of the present article use some of the

In contrast with the finite dimensional theory, the spaces of holomorphic mappings and germs on infinite dimensional Banach spaces do not satisfy many nice properties in the

The space of invariants in this situation contains the local germs of finite order at the tangency points defined as follows: if f is a primitive local holomorphic first integral at

Invariance of the Camacho-Sad indices associated to the separatrix curve We will prove the equality 18 when s is the attaching point of the strict transform S̆ of an

Until recently, this tube manifold T F was, up to local CR-isomorphy, the only known example of a 5-dimensional Levi degener- ate, holomorphically nondegenerate and locally

In case M is real-analytic, the assumptions in Theorem 1.1 are clearly equivalent to M being finitely nondegenerate and of finite type at some sequence of points converging to p.. If