Equidistribution towards the Green current for holomorphic maps

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dc.creatorDinh, Tien-Cuong
dc.creatorSibony, Nessim
dc.date2006-09-25
dc.date2008-01-09
dc.date.accessioned2026-07-07T08:53:21Z
dc.date.available2026-07-07T08:53:21Z
dc.descriptionLet 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.
dc.description34 pages, added theorem, propositions, references, to appear in Ann. Sci. ENS
dc.identifierhttps://arxiv.org/abs/math/0609686
dc.identifierhttp://arxiv.org/abs/math/0609686
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145595
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F10; 32H50; 32U05
dc.titleEquidistribution towards the Green current for holomorphic maps
dc.typetext

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