Corollary 4.52 . [02QU]

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Corollary 4.52.

Let $\Sigma$ be a complete fan in $N_{\mathbb{R}}$ , $\Psi\colon N_{\mathbb{R}}\to\mathbb{R}$ a support function on $\Sigma$ , and $\sigma\in\Sigma$ a cone of dimension $n-k$ . Then

\deg_{D_{\Psi}}(V(\sigma))=k!\operatorname{vol}_{M(F_{\sigma})}(F_{\sigma}).