Limit currents and value distribution of holomorphic maps

DOI10.5802/aif.2703zbMath1252.32002arXiv1005.4330OpenAlexW2962828787MaRDI QIDQ442124

Nessim Sibony, Daniel M. jun. Burns

Publication date: 9 August 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4330

zbMATH Keywords

equidistributionvalue distribution theoryAhlfors currentsBrody's theorem

Mathematics Subject Classification ID

Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30) Picard-type theorems and generalizations for several complex variables (32H25) Currents (32U40)

Related Items

Higher dimensional tautological inequalities and applications ⋮ Self-intersection of foliation cycles on complex manifolds ⋮ Singular holomorphic foliations by curves. III: Zero Lelong numbers ⋮ On the work of Sarig on countable Markov chains and thermodynamic formalism ⋮ Generalized Hénon mappings and foliation by injective Brody curves ⋮ Some open problems on holomorphic foliation theory ⋮ Ergodic theorems for laminations and foliations: recent results and perspectives ⋮ The intersection of an entire holomorphic mapping and a complex Monge-Ampère current with a bounded potential ⋮ Unique ergodicity for foliations on compact Kähler surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Super-potentials of positive closed currents, intersection theory and dynamics
• Average growth estimates for hyperplane sections of entire analytic sets
• A moving lemma for the transcendental Bezout problem
• Value distribution on parabolic spaces
• Diophantine approximations and foliations
• Ahlfors' currents in higher dimension
• The growth of the area of a transcendental analytic set. I, II
• Distribution of the values of meromorphic transformations and applications
• Harmonic currents of finite energy and laminations
• Conditions for the analyticity of certain sets
• Nevanlinna theory and holomorphic mappings between algebraic varieties
• Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85)
• The area of analytic varieties in $\mathsf{C}^n$
• Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping