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

• Atsuji Atsushi

  Keio University, Department Mathematics

抄録

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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 69 (2), 477-501, 2017

  一般社団法人 日本数学会

キーワード

• Nevanlinna theory
• complex lamination
• value distribution theory
• holomorphic diffusion

詳細情報

• CRID: 1390001205115238016
• NII論文ID: 130006887133
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06920477
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 028132410
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I028132410
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
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