A packing problem for holomorphic curves
Masaki Tsukamoto
Source: Nagoya Math. J. Volume 194 (2009), 33-68.
Abstract
We propose a new approach to the value distribution theory of entire holomorphic curves. We define \emph{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.
Primary Subjects: 32H30
Keywords: Brody curve; packing problem; the Nevanlinna theory; elliptic curve; complement of hyperplanes
Full-text: Open access
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Nagoya Mathematical Journal
