• Corpus ID: 15292307

Value distribution and potential theory

@article{Eremenko2003ValueDA,
  title={Value distribution and potential theory},
  author={Alexandre Eremenko},
  journal={arXiv: Complex Variables},
  year={2003}
}
  • A. Eremenko
  • Published 22 April 2003
  • Mathematics
  • arXiv: Complex Variables
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… 

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