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arXiv · 2111.13521

On the numerical dimension of Calabi-Yau 3-folds of Picard number 2

Michael Hoff·Isabel Stenger
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Abstract

We show that for any smooth Calabi-Yau threefold $X$ of Picard number $2$ with infinite birational automorphism group, the numerical dimension $\kappa_\sigma$ of the extremal rays of the movable cone of $X$ is $\frac{3}{2}$. Furthermore, we provide new examples of Calabi-Yau threefolds of Picard number $2$ with infinite birational automorphism group.

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Michael Hoff, Isabel Stenger. 2021-11-26. On the numerical dimension of Calabi-Yau 3-folds of Picard number 2. https://arxiv.org/abs/2111.13521

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