On Ahlfors currents

DOI10.1016/j.matpur.2021.05.007zbMath1478.32043arXiv2101.11973OpenAlexW3168289679MaRDI QIDQ2246813

Dinh Tuan Huynh, Song-Yan Xie

Publication date: 16 November 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11973

zbMATH Keywords

Nevanlinna theoryAhlfors currentsJensen formulaentire curvesWeierstrass canonical productSiu's decomposition

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Value distribution theory in higher dimensions (32H30) Currents (32U40) Integration on analytic sets and spaces, currents (32C30)

Cites Work

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• On the set of divisors with zero geometric defect
• Algebraic flows on commutative complex Lie groups
• Two examples on the mean dimension of spaces of Brody curves
• Singularités des courants d'Ahlfors
• Singularities of local Ahlfors currents

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