Abstract
We discuss the value distribution of Borel measurable maps which are holomorphic along leaves of complex laminations. In the case of complex lamination by hyperbolic Riemann surfaces with an ergodic harmonic measure, we have a defect relation appearing in Nevanlinna theory. It gives a bound of the number of omitted hyperplanes in general position by those maps.
Citation
Atsushi ATSUJI. "Value distribution of leafwise holomorphic maps on complex laminations by hyperbolic Riemann surfaces." J. Math. Soc. Japan 69 (2) 477 - 501, April, 2017. https://doi.org/10.2969/jmsj/06920477
Information