Proposition 5.38 . [02U0]

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Proposition 5.38.

The metric $\|\cdot\|_{\mathbb{S}}$ extends to a toric smooth metric over $X^{{\text{\rm an}}}_{\Sigma}$ . Moreover, if $\|\cdot\|$ is semipositive then $\|\cdot\|_{\mathbb{S}}$ is semipositive.