Corollary 1.5 . [01DY]

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Corollary 1.5.

If $L\in\Pic(\mathcal{X}_{K})_{\mathbf{R}}$ is ample then $L$ extends to an ample $\mathbf{R}$ -line bundle $\mathcal{L}\in\Pic(\mathcal{X}^{\prime})_{\mathbf{R}}$ for all sufficiently high vertical blow-ups $\mathcal{X}^{\prime}\to\mathcal{X}$ .