## Journal of the Mathematical Society of Japan

### Value distribution of leafwise holomorphic maps on complex laminations by hyperbolic Riemann surfaces

Atsushi ATSUJI

#### 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.

#### Article information

Source
J. Math. Soc. Japan Volume 69, Number 2 (2017), 477-501.

Dates
First available in Project Euclid: 20 April 2017

https://projecteuclid.org/euclid.jmsj/1492653637

Digital Object Identifier
doi:10.2969/jmsj/06920477

#### Citation

ATSUJI, Atsushi. Value distribution of leafwise holomorphic maps on complex laminations by hyperbolic Riemann surfaces. J. Math. Soc. Japan 69 (2017), no. 2, 477--501. doi:10.2969/jmsj/06920477. https://projecteuclid.org/euclid.jmsj/1492653637

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