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 Value distribution and potential theory

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We describe some results of value distribution theory of holomorphic curves and quasiregular maps, which are obtained using potential theory. Among the results discussed are: extensions of Picards theorems to quasiregular maps between Riemannian manifolds, a version of the Second Main Theorem of Nevanlinna for curves in projective space and non-linear divisors, description of extremal functions in Nevanlinna theory and results related to Cartans 1928 conjecture on holomorphic curves in the unit disc omitting hyperplanes.

Autor: Alexandre Eremenko


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