Lemma 6.2 . [02F8]

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Lemma 6.2.

Assume $V$ is compact. Let $\Omega_{1},\Omega_{2}$ two semi Kähler currents with $L_{loc}^{\infty}$ potentiel on $V$ . If they are cohomologous, i.e. $\Omega_{1}=\Omega_{2}+dd^{c}\varphi$ for some $\varphi\in L^{\infty}(X)$ , then $\int_{V}\Omega_{1}^{n}=\int_{V}\Omega_{2}^{n}$ .