Proper Maps from Strongly q-Convex Domains.
We will classify -dimensional real submanifolds in which have a set of parabolic complex tangents of real dimension . All such submanifolds are equivalent under formal biholomorphisms. We will show that the equivalence classes under convergent local biholomorphisms form a moduli space of infinite dimension. We will also show that there exists an -dimensional submanifold in such that its images under biholomorphisms , , are not equivalent to via any local volume-preserving holomorphic...
Every -dimensional complex manifold (connected, paracompact and Hausdorff) is the image of the unit ball in under a finite holomorphic map that is locally biholomorphic.
We prove some criteria for the injectivity of holomorphic mappings.
The authors obtain a generalization of Jack-Miller-Mocanu’s lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in into .