Completions of affine spaces into Mori fiber spaces with non-rational fibers

Published 12 Oct 2020 in math.AG | (2010.05884v2)

Abstract: We describe a method to construct completions of affine spaces into total spaces of $\mathbb{Q}$-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.

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