A packing problem for holomorphic curves

Masaki Tsukamoto

Research output: Contribution to journal › Article

Abstract

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.

Original languageEnglish
Pages (from-to)33-68
Number of pages36
JournalNagoya Mathematical Journal
Volume194
DOIs
Publication statusPublished - 2009
Externally publishedYes

Fingerprint

Holomorphic Curve
Packing Problem
Packing
Value Distribution Theory
Dimension Theory
Characteristic numbers
Curve
Entire

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

A packing problem for holomorphic curves. / Tsukamoto, Masaki.

In: Nagoya Mathematical Journal, Vol. 194, 2009, p. 33-68.

Research output: Contribution to journal › Article

Tsukamoto, M 2009, 'A packing problem for holomorphic curves', Nagoya Mathematical Journal, vol. 194, pp. 33-68. https://doi.org/10.1017/S0027763000009624
Tsukamoto M. A packing problem for holomorphic curves. Nagoya Mathematical Journal. 2009;194:33-68. https://doi.org/10.1017/S0027763000009624
Tsukamoto, Masaki. / A packing problem for holomorphic curves. In: Nagoya Mathematical Journal. 2009 ; Vol. 194. pp. 33-68.
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