N\'eron models of Jacobians over bases of arbitrary dimension

We work with a smooth relative curve $X_U/U$ nodal reduction over an excellent and locally factorial scheme $S$. show that blowing up model of $X_U$ in the ideal sheaf section yields new model, describe how these models relate to each other. construct N\'eron for Jacobian $X_U$, it on $S$ as quotient Picard space well-chosen model. provide combinatorial criterion be separated.