Alessandro Verra

On the Prym moduli spaces of curves in low genus

ABSTRACT The Prym moduli space R_g is the moduli space of irreducible, etale double coverings of genus g curves. Starting from the beautiful geometry of R_g in genus g < 7, we describe some further geometry and various results of unirationality: this is done in the case of R_g and of some related moduli spaces for g = 5, 6, 7.