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A Packing Problem for Holomorphic Curves

Published online by Cambridge University Press:  11 January 2016

Masaki Tsukamoto
Masaki Tsukamoto*
Affiliation:
Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan, tukamoto@math.kyoto-u.ac.jp
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Abstract

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We propose a new approach to the value distribution theory of entire holomorphic curves. We define packing density of Brody curves, and show that it has various non-trivial properties. The packing density of Brody curves can be considered as an infinite dimensional version of characteristic number, and it has an application to Gromov’s mean dimension theory.

Keywords

32H30
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 194 , 2009 , pp. 33 - 68
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2009

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