Séminaires : Séminaire de géométrie algébrique

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Le jeudi à 14h.
septembre-décembre Sophie-Germain, janvier-mars ENS, avril-juin Jussieu

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Orateur(s) Filippo Viviani - ,
Titre On the classification of (universal) compactified Jacobians
Date06/02/2025
Horaire14:00 à 15:00
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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.

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