%0 Journal Article %T Rational cohomology of \bar R_2 (and \bar S_2) %A Sebastian Krug %J Mathematics %D 2010 %I arXiv %X We compute the rational cohomology ring of \bar R_2, the (compactified) moduli space of Prym curves of genus 2. We also recompute the rational cohomology ring of \bar S_2, the moduli space of spin curves of genus 2, thereby correcting some errors made in an article by G. Bini and C. Fontanari, containing a computation of the same ring. %U http://arxiv.org/abs/1012.5191v1