Log-concavity conjecture for the mobility of numerical cycle classes

Let $X$ be an integral projective variety of dimension $n$, let $k$ be a nonnegative integer, and let $\operatorname{mob}$ denote the mobility function on the pseudo-effective cone $\operatorname{\overline{Eff}}_{k}(X)$ of numerical $k$-cycle classes. For classes $\alpha,\beta\in\operatorname{\overline{Eff}}_{k}(X)$, Mobility log-concavity conjecture.

$$\operatorname{mob}(\alpha+\beta)^{\frac{n-k}{n}}\geq \operatorname{mob}(\alpha)^{\frac{n-k}{n}}+\operatorname{mob}(\beta)^{\frac{n-k}{n}}.$$

This conjecture proposes a Brunn–Minkowski-type inequality for mobility, strengthening its known superadditivity and continuity properties. The supplied source does not indicate that the conjecture has been resolved.