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arXiv:math/0609686 [math.DS]AbstractReferencesReviewsResources

Equidistribution towards the Green current for holomorphic maps

Tien-Cuong Dinh, Nessim Sibony

Published 2006-09-25, updated 2008-01-09Version 3

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.

Comments: 34 pages, added theorem, propositions, references, to appear in Ann. Sci. ENS
Categories: math.DS, math.CV
Subjects: 37F10, 32H50, 32U05
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