A packing problem for holomorphic curves

Masaki Tsukamoto

doi:10.1017/S0027763000009624

A packing problem for holomorphic curves

Masaki Tsukamoto

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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 language	English
Pages (from-to)	33-68
Number of pages	36
Journal	Nagoya Mathematical Journal
Volume	194
DOIs	https://doi.org/10.1017/S0027763000009624
Publication status	Published - 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1017/S0027763000009624

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title = "A packing problem for holomorphic curves",

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AB - 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.

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JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

A packing problem for holomorphic curves

Abstract

All Science Journal Classification (ASJC) codes

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