Beschreibung:
Some recent successes in value-distribution theory -- Bergman — Szegö type theory for CR structures -- Regular complex geodesics for the domain Dn=((z1, ..., zn) ? ?n : |z1| + ... + |zn| < 1) -- Subelliptic, second order differential operators -- Recent results on homogeneous complex manifolds -- Kähler-Einstein metrics for the case of positive first chern class -- Algebroid reduction of Nevanlinna theory -- An infinite-dimensional generalization of the Shilov boundary and infinite dimensional analytic structures in the spectrum of a uniform algebra -- New relations between Sibony-Basener boundaries -- Picard-fuchs differential equations for the quadratic periods of Abelian integrals of the first kind -- Holomorphic families of holomorphic isometries -- Complex Monge-Ampère equation and related problems -- Liouville theorems -- A final word.