On the unirationality of conic bundles with discriminant of degree eight

Alex Casarotti, Søren Gammelgaard, Alex Massarenti

We study the unirationality of surface conic bundles $\pi :S\to {\mathbb{P}}^1$ over an arbitrary field $k$ with discriminant degree $d_S=8$, the first case beyond the del Pezzo ran…