We give a natural generalization of the Dinh-Sibony notion of density currents in the setting where the ambient manifold is not necessarily Kahler. 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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Texas A&M Univ, George P & Cynthia W Mitchell Inst Fundamental Ph, College Stn, TX 77843 USA
Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USATexas A&M Univ, George P & Cynthia W Mitchell Inst Fundamental Ph, College Stn, TX 77843 USA
Becker, Melanie
Tseng, Li-Sheng
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Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA
Harvard Univ, Dept Math, Cambridge, MA 02138 USATexas A&M Univ, George P & Cynthia W Mitchell Inst Fundamental Ph, College Stn, TX 77843 USA
Tseng, Li-Sheng
Yau, Shing-Tung
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Harvard Univ, Dept Math, Cambridge, MA 02138 USATexas A&M Univ, George P & Cynthia W Mitchell Inst Fundamental Ph, College Stn, TX 77843 USA