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.Co-primo
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 allegati a questo prodotto
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