CORDIS provides links to public deliverables and publications of HORIZON projects.
Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .
Exploitable results
Very little is known about the boundary values of the proper holomorphic functions on weakly pseudo-convex domains. When these domains satisfy certain geometrical invariant properties (Reinhardt domains, convex domains), the action of a group of automorphisms attempts to estimate more precisely the value of the Jacobian with respect to the boundary distance to give a generalization of known properties in the strictly pseudo-convex case. The expected results are a description of the properties of the normal and tangent ranks of C.R. mappings; elimination of L1-singularities of Hölder pick sets of C.R. mappings; classification of proper holomorphic mappings between bounded complete Reinhardt domains in C² and splitting of a proper holomorphic mapping; description of good domains where every proper holomorphic self-map is an automorphism; characterization of C.R. homeomorphisms; and Weierstrass division theorems.
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