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
Moduli of sheaves on ribbons
Michele Savarese, Filippo Viviani
We study the geometry of the moduli stack of torsion-free sheaves on ribbons. We introduce a stratification of the stack by the complete type of the sheaves, and we investigate the…
math.AG2024
The line bundles on the moduli stack of principal bundles on families of curves
Roberto Fringuelli, Filippo Viviani
Given a connected reductive algebraic group G, we investigate the Picard group of the moduli stack of principal G-bundles over an arbitrary family of smooth curves.