Let $C_{r}\subset\mathbb{P}^{r}_{\mathbb{Q}}$ be the Veronese curve of degree $r$ and ${\overline{{\mathcal{O}}(1)}}$ the universal line bundle on $\mathbb{P}^{r}_{\mathbb{Q}}$ equipped with the Fubini-Study metric at the Archimedean place and with the canonical metric at the non-Archimedean ones. Then