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arXiv:2111.13521 [math.AG]AbstractReferencesReviewsResources

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

Michael Hoff, Isabel Stenger

Published 2021-11-26, updated 2022-03-25Version 2

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.

Comments: 17 pages, added an argument in the proof of the main theorem, improvements following the referee's suggestions
Categories: math.AG
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