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Densities of Currents on Non-Kähler Manifolds

Duc‐Viet VuUniversity of Cologne, Mathematical Institute, Weyertal 86-90, 50931, Köln, Germany & Thang Long Institute of Mathematics and Applied Sciences, Hanoi, Vietnam
2020en
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Abstract We give a natural generalization of the Dinh–Sibony notion of density currents in the setting where the ambient manifold is not necessarily Kähler. As an application, we show that the algebraic entropy of meromorphic self-maps of compact complex surfaces is a finite bi-meromorphic invariant.

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