Definition 19.4.3.DCCC835656D0 Assume that $\varphi $ has analytic singularities. We define
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19.4.4
\begin{equation} \Gamma ^{\infty }(\theta ,\varphi )\coloneqq \left\{ (\nu (s),k):k\in \mathbb {N}, s\in \mathrm{H}^0(X,L^ k\otimes \mathcal{I}_{\infty }(k\varphi ))^{\times } \right\} . \end{equation}
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