PomeDefinition 19.5.2.AD7EC900552C Let $\alpha $ be a big cohomology class on $X$. We define the Okounkov body of $\alpha $ with respect to the flag $Y_{\bullet }$ as
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19.5.3
\begin{equation} \Delta _{Y_{\bullet }}(\alpha )\coloneqq \overline{\left\{ \nu _{Y_{\bullet }}(S): S\in \mathcal{Z}_+(X,\alpha ),S\textup{ has gentle analytic singularities} \right\} }. \end{equation}
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