Generically finite Prym maps

Date: 2021-09-07

Time: 13:15 - 14:15

Zoom link:


Angela Ortega


Given a finite morphism between smooth projective curves one can canonically associate to it a polarised abelian variety, the Prym variety. This induces a map from the moduli space of coverings to the moduli space of polarised abelian varieties, known as the Prym map. It is a classical result that the Prym map is generically injective for étale double coverings over curves of genus at least 7.

In this talk I will show the global injectivity of the Prym map for ramified double coverings over curves of genus g ≥ 1  and  ramified in at least 6 points. This is a joint work with J.C. Naranjo.

I will finish with an overview on what is known for the degree of the Prym map for ramified  cyclic coverings of degree d ≥ 2.