Résume | ABSTRACT: We study the problem of classifying compactified Jacobians
of nodal curves that can arise as limits of Jacobians of smooth
curves. The answer is given in terms of a new class of compactified
Jacobians, that is strictly larger than the class of classical
compactified Jacobians, as constructed by Oda-Seshadri, Simpson,
Caporaso and Esteves. A consequence of our result is a complete
classification of all the modular compactifications of the universal
Jacobian over the moduli stack of pointed stable curves. This is based
on a joint work with M. Fava and N. Pagani. |