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Article Dans Une Revue Journal of the London Mathematical Society Année : 2022

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

Résumé

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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hal-02967204 , version 1 (14-10-2020)

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Adrien Dubouloz, Takashi Kishimoto, Karol Palka. Completions of affine spaces into Mori fiber spaces with non-rational fibers. Journal of the London Mathematical Society, 2022, 106 (2), pp.1257-1290. ⟨10.1112/jlms.12598⟩. ⟨hal-02967204⟩
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