Definition 5.19.2.AE4F30A1999E We say $\alpha $ is pseudo-effective if there is a closed positive $(1,1)$-current in $\alpha $.
We say $\alpha $ is big if there is a closed positive $(1,1)$-current $T$ in $\alpha $ dominating a Kähler form. Such currents are called Kähler currents.
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