Transversally pseudoconvex semiholomorphic foliations

Abstract

A semiholomorphic foliations of type (n, d) is a differentiable real manifold $X$ of dimension $2n+d$, foliated by complex leaves of complex dimension $n$. The aim of the present note is to outline some results obtained in studying such spaces along the lines of the classical theory of complex spaces. Complete proofs will appear elsewhere.