Equidistribution towards the Green current for holomorphic maps
Tien-Cuong Dinh, Nessim Sibony
Abstract
Let f be a non-invertible holomorphic endomorphism of a projective space and fn its iterate of order n. We prove that the pull-back by fn 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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