Densities of Currents on Non-Kähler Manifolds

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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Bibliographic Details
Published in:International mathematics research notices 2021-09, Vol.2021 (17), p.13282-13304
Main Author: Vu, Duc-Viet
Format: Article
Language:English
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Summary: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.
ISSN:1073-7928
1687-0247
DOI:10.1093/imrn/rnz270