Remark 13.10.2.918938F52375 There is also a slightly more general version of this construction. Given a closed positive current $T$, one can also define the product
\[ \mathrm{dd}^{\mathrm{c}}\varphi _1\wedge \cdots \wedge \mathrm{dd}^{\mathrm{c}}\varphi _ p \wedge T \]
in a very similar way.
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