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.
The Picard group of the universal abelian variety and the Franchetta conjecture for abelian varieties / Fringuelli, R.; Pirisi, R.. - In: MICHIGAN MATHEMATICAL JOURNAL. - ISSN 0026-2285. - 68:3(2019), pp. 651-671. [10.1307/mmj/1564106669]
The Picard group of the universal abelian variety and the Franchetta conjecture for abelian varieties
Pirisi R.
2019
Abstract
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.File in questo prodotto:
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