Remark 17.14.14D6FC5A3046FA

Remark 17.14.14.D6FC5A3046FA There is an important special case of example 17.14.10: Suppose that $L$ is ample and $\mathcal{F}$ is the filtration induced by a smooth test configuration $(\mathcal{X},\mathcal{L})$ of $(X,L)$. Then the geodesic ray $\Gamma ^{\mathcal{F}*}$ is exactly the Phong–Sturm geodesic ray associated with $(\mathcal{X},\mathcal{L})$. See [Section 9, RWN14].