On the unirationality of 3-fold conic bundles

A variety is unirational if it is dominated by a rational variety. A variety is rationally connected if two general points can be joined by a rational curve. This paper aims to show that the two notions can cooperate and, building on Graber-Harris-Starr celebrated result, it presents a unirationality statement for 3-fold conic bundles with "bounded" discriminant.