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Equidistribution for non-pluripolar currents on compact Kähler manifolds

Published 21 Sep 2023 in math.CV and math.DS | (2309.12099v1)

Abstract: Let $X$ be a compact K\"ahler manifold of complex dimension $k\ge 2$ and $f:X\to X$ 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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