6 citations · 7 across the 8 of their papers we have counts for
10 papers · 1 filter
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{…
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.
Integral Picard group of moduli of polarized K3 surfaces
Andrea Di Lorenzo, Roberto Fringuelli, Angelo Vistoli
We compute the integral Picard group of the moduli stack of polarized K3 surfaces of fixed degree whose singularities are at most rational double points. We also compute the integr…
Automorphisms of moduli spaces of principal bundles over a smooth curve
Roberto Fringuelli
For any almost-simple group over an algebraically closed field of characteristic zero, we describe the automorphism group of the moduli space of semistable -bundles over…
The Picard group of the universal moduli stack of principal bundles on pointed smooth curves II
Roberto Fringuelli, Filippo Viviani
In this paper, which is a sequel of arXiv:2002.07494, we investigate, for any reductive group over an algebraically closed field , the Picard group of the universal moduli s…
On the Picard group scheme of the moduli stack of stable pointed curves
Roberto Fringuelli, Filippo Viviani
The aim of the present paper is to study the (abstract) Picard group and the Picard group scheme of the moduli stack of stable pointed curves over an arbitrary scheme. As a byprodu…
The Picard group of the universal moduli stack of principal bundles on pointed smooth curves
Roberto Fringuelli, Filippo Viviani
For any smooth connected linear algebraic group G over an algebraically closed field k, we describe the Picard group of the universal moduli stack of principal G-bundles over point…
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…
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…
The Picard group of the universal moduli space of vector bundles on stable curves
Roberto Fringuelli
We construct the moduli stack of properly balanced vector bundles on semistable curves and we determine explicitly its Picard group. As a consequence, we obtain an explicit descrip…