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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…
math.AG2016
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…