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arXiv · 2010.05884

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

Adrien Dubouloz·Takashi Kishimoto·Karol Palka
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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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Adrien Dubouloz, Takashi Kishimoto, Karol Palka. 2020-10-12. Completions of affine spaces into Mori fiber spaces with non-rational fibers. https://arxiv.org/abs/2010.05884

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