Equidistribution for non-pluripolar currents on compact Kähler manifolds

2023/09/21 by Ahn, Taeyong, Vu, Duc-Viet
#32Q15 #32U15 #37D20 #37F80 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.12099

Abstract

Let X be a compact Kähler manifold of complex dimension k≥ 2 and f:X→ X a surjective holomorphic endomorphism of simple action on cohomology. We prove that the sequence of normalized pull-backs of a non-pluripolar current under iterates of f converges to the Green current associated with f.

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