On Numerical Dimensions of Calabi–Yau Varieties
On Numerical Dimensions of Calabi–Yau Varieties
Abstract Let $X$ be a Calabi–Yau variety of Picard number two with infinite birational automorphism group. We show that the numerical dimension $\kappa ^{\mathbb{R}}_{\sigma }$ of the extremal rays of the closed movable cone of $X$ is $\dim X/2$. More generally, we investigate the relation between the two numerical dimensions …