Equidistribution towards the Green current for holomorphic maps

Details Equidistribution towards the Green current for holomorphic maps Equidistribution towards the Green current for holomorphic maps

2006-09-25

arxiv.org/abs/math/0609686v3

Mathematics

Dynamical Systems

34 pages, added theorem, propositions, references, to appear in Ann. Sci. ENS

Scientific paper

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.

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