3 papers
math.AG2025
Hitchin fibrations are Ngô fibrations
Mark Andrea de Cataldo, Roberto Fringuelli, Andres Fernandez Herrero +1
We study the geometry of the Hitchin fibration for -valued -Higgs bundles over a smooth projective curve of genus , where is a reductive group and $\mathcal{…
math.AG2018
The Brauer group of the universal moduli space of vector bundles over smooth curves
Roberto Fringuelli, Roberto Pirisi
We compute the Brauer group of the universal moduli stack of vector bundles on (possibly marked) smooth curves of genus at least three over the complex numbers. As consequence, we…
math.AG2016
The Picard group of the universal abelian variety and the Franchetta conjecture for abelian varieties
Roberto Fringuelli, Roberto Pirisi
We compute the Picard group of the universal abelian variety over the moduli stack of principally polarized abelian varieties over with a symplectic…