On the Prym moduli spaces of curves in low genus
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.