Value distribution and potential theory
Complex Variables
2007-05-23 v1
Abstract
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 Picard's 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 Cartan's 1928 conjecture on holomorphic curves in the unit disc omitting hyperplanes.
Cite
@article{arxiv.math/0304332,
title = {Value distribution and potential theory},
author = {Alexandre Eremenko},
journal= {arXiv preprint arXiv:math/0304332},
year = {2007}
}