Multiplicity of holomorphic functions

Charles Favre

doi:10.1007/s002080050016

Multiplicity of holomorphic functions

Charles Favre

KTH Royal Institute of Technology
Université Paris-Saclay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

16 Citations (Scopus)

Résumé

The main result of this paper concerns an analytic version of Birkhoff's ergodic theorem. It allows us to define asymptotic multiplicities given any algebraically stable rational map f : ℙ² → ℙ². This is the key for our study of the singularities of the Green current T associated to f. We characterize the points where the Lelong number of T is strictly positive.

langue originale	Anglais
Pages (de - à)	355-378
Nombre de pages	24
journal	Mathematische Annalen
Volume	316
Numéro de publication	2
Les DOIs	https://doi.org/10.1007/s002080050016
état	Publié - 1 janv. 2000
Modification externe	Oui

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10.1007/s002080050016

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Multiplicity of holomorphic functions

Résumé

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