Equidistribution towards the Green current for holomorphic maps
classification
🧮 math.DS
math.CV
keywords
currentgreenholomorphicpull-backanalogousassociatedclosedconverge
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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.
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