The map $\Phi_{\rm alg}$ is continuous on $\overline{\mathcal{F}_{2d}}^{\rm Sat}\setminus(\bigcup_{p}\mathcal{F}_{2d}(p))$. It is continuous also when restricted to the boundary $\partial{\overline{\mathcal{F}_{2d}}^{\rm Sat}}=\overline{\mathcal{F}_{2d}}^{\rm Sat}\setminus\mathcal{F}_{2d}$.