Completions of affine spaces into Mori fiber spaces with non‐rational fibers
Completions of affine spaces into Mori fiber spaces with non‐rational fibers
We describe a method to construct completions of affine spaces into total spaces of Q $\mathbb {Q}$ -factorial terminal Mori fiber spaces over the projective line. As an application, we provide families of examples with non-rational, birationally rigid and non-stably rational general fibers.