Brolin's Theorem for curves in two complex dimensions

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Given a holomorphic selfmap f of the complex projective plane of algebraic degree at least 2, we give sufficient conditions on a positive closed (1,1) current S of unit mass under which the normalized pullbacks of S under iterates of f converge to the Green current T. In particular, we completely characterize the plane algebraic curves whose normalized pullbacks converge weakly to T.
30 pages

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Dynamical Systems, Complex Variables, 32F50, 58F23, 32U25

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http://salesiana.dossiersoluciones.com/handle/123456789/61566

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0105260
 http://arxiv.org/abs/math/0105260

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arXiv