Theorem 1.2 . [02IE]

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Theorem 1.2.

The height of $X$ with respect to ${\overline{L}}$ is given by

\operatorname{h}_{{\overline{L}}}(X)=(n+1)!\sum_{v\in\mathfrak{M}_{\mathbb{Q}}}\int_{\Delta}\vartheta_{v}\,\text{\rm d}\operatorname{vol}.