Equidistribution towards the Green current for holomorphic maps

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Let f be a non-invertible holomorphic endomorphism of a projective space and f^n its iterate of order n. We prove that the pull-back by f^n of a generic (in the Zariski sense) hypersurface, properly normalized, converge to the Green current associated to f when n tends to infinity. We also give an analogous result for the pull-back of positive closed (1,1)-currents.
34 pages, added theorem, propositions, references, to appear in Ann. Sci. ENS

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Dynamical Systems, Complex Variables, 37F10; 32H50; 32U05

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http://salesiana.dossiersoluciones.com/handle/123456789/145595

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609686
 http://arxiv.org/abs/math/0609686

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arXiv