The Picard group of the universal abelian variety and the Franchetta conjecture for abelian varieties
01 Pubblicazione su rivista
Fringuelli R., Pirisi R.
ISSN: 0026-2285
We compute the Picard group of the universal Abelian variety over the moduli stack Ag,n of principally polarized Abelian varieties over C with a symplectic principal level n-structure. We then prove that over C the statement of the Franchetta conjecture holds in a suitable form for Ag,n.