Value distribution of leafwise holomorphic maps on complex laminations by hyperbolic Riemann surfaces
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- Atsuji Atsushi
- Keio University, Department Mathematics
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Abstract
<p>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.</p>
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 69 (2), 477-501, 2017
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390001205115238016
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- NII Article ID
- 130006887133
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 028132410
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed