3 papers
math.AG2026
A complete classification of modular compactifications of the universal Jacobian
Marco Fava, Nicola Pagani, Filippo Viviani
This is the third paper in a series, following [FPVa] and [FPVb]. We classify all modular compactifications of the universal Jacobian over , both as s…
math.AG2025
A complete theory of smoothable compactified Jacobians of nodal curves
Marco Fava, Nicola Pagani, Filippo Viviani
We introduce and study a new class of compactified Jacobians for nodal curves, that we call compactified Jacobians of vine type, or simply V-compactified Jacobians. This class is s…
math.AG2025
A new class of compactified Jacobians for families of reduced curves
Marco Fava, Nicola Pagani, Filippo Viviani
This is the first paper of a series of three. Here we give an abstract definition of the relative compactified Jacobian of a family of reduced curves. We prove that, under some mil…