%0 Journal Article
%T Prym varieties and moduli of polarized Nikulin surfaces
%A Gavril Farkas
%A Alessandro Verra
%J Mathematics
%D 2015
%I arXiv
%X We present a structure theorem for the moduli space R_7 of Prym curves of genus 7 as a projective bundle over the moduli space of 7-nodal rational curves. The existence of this parametrization implies the unirationality of R_7 and that of the moduli space of Nikulin surfaces of genus 7, as well as the rationality of the moduli space of Nikulin surfaces of genus 7 with a distinguished line. Using the results in genus 7, we then establish that R_8 is uniruled.
%U http://arxiv.org/abs/1503.05967v2