Definition 3.7 . [02KG]

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Definition 3.7.

The recession of $\Pi$ is defined as the collection of polyhedral cones of $N_{\mathbb{R}}$ given by

\operatorname{rec}(\Pi)=\{\operatorname{rec}(\Lambda)\mid\Lambda\in\Pi\}.

The cone of $\Pi$ is defined as the collection of cones in $N_{\mathbb{R}}\times\mathbb{R}$ given by

\operatorname{c}(\Pi)=\big\{\operatorname{c}(\Lambda)\mid\Lambda\in\Pi\big\}\cup\big\{\sigma\times\{0\}\mid\sigma\in\operatorname{rec}(\Pi)\big\}.