A categorical invariant for geometrically rational surfaces with a conic bundle structure

27 Sep 2019 · Bernardara Marcello, Durighetto Sara ·

We define a categorical birational invariant for minimal geometrically rational surfaces with a conic bundle structure over a perfect field via components of a natural semiorthogonal decomposition. Together with the similar known result on del Pezzo surfaces, this provides a categorical birational invariant for geometrically rational surfaces.