On the Numerical Dimension of Calabi–Yau 3-Folds of Picard Number 2

Author:

Hoff Michael1,Stenger Isabel1

Affiliation:

1. Universität des Saarlandes , Campus E2 4, D-66123 Saarbrücken, Germany

Abstract

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.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

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1. On Numerical Dimensions of Calabi–Yau Varieties;International Mathematics Research Notices;2023-03-14

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