%0 Journal Article %T Surfaces with involution and Prym constructions %A Mingmin Shen %J Mathematics %D 2012 %I arXiv %X An involution on a surface induces involutions on the cohomology, the Chow group and the Brauer group of the surface. We give a detailed study of those actions. We show that the odd part of these groups can be used to describe the geometry of cubic fourfolds and conic bundles over $\mathbb{P}^3$. %U http://arxiv.org/abs/1209.5457v2