Complex analysis and geometry

Informazioni relative al progetto

ID dell’accordo di sovvenzione: INTAS-93-0047

Progetto chiuso

Data di avvio 1 Febbraio 1996

Data di completamento 31 Gennaio 1998

Finanziato da

• International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993-

Costo totale

Nessun dato

Contributo UE

€ 50 000,00

Coordinato da

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
France

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Risultati sfruttabili

Complex analysis and geometry

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.