Conic bundle threefolds differing by a constant Brauer class and connections to rationality

Sarah Frei, Lena Ji, Soumya Sankar +2

A double cover $Y$ of ${\mathbb{P}}^1\times {\mathbb{P}}^2$ ramified over a general $(2,2)$-divisor will have the structure of a geometrically standard conic bundle ramified over a sm…