Definition 19.4.5.51F245B40203 If $T$ is a holomorphic line bundle on $X$, we introduce
\[ \begin{aligned} \Delta _{k,T}(\theta ,\varphi )\coloneqq & \mathrm{Conv}\left\{ k^{-1}\nu (s): s\in \mathrm{H}^0(X,T\otimes L^ k\otimes \mathcal{I}(k\varphi ))^{\times } \right\} \subseteq \mathbb {R}^ n,\\ \Delta _{k,T}(L)\coloneqq & \mathrm{Conv}\left\{ k^{-1}\nu (s): s\in \mathrm{H}^0(X,T\otimes L^ k)^{\times } \right\} \subseteq \mathbb {R}^ n \end{aligned} \]
for all $k\in \mathbb {Z}_{>0}$ such that the relevant spaces of sections are non-zero.
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