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.

中文翻译：

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非Kähler流形上的电流密度

我们在环境流形不一定为Kähler的情况下自然地概括了Dinh-Sibony密度电流的概念。作为一个应用，我们证明了紧致复杂曲面的亚纯自映射的代数熵是有限的双亚纯不变。