Minimal mld conjecture for the constructed klt Calabi–Yau varieties

For each integer $n\geq2$, let $V/G$ be the quotient of the hypersurface constructed in the paper by the cyclic group action described there; it is a klt Calabi–Yau variety of dimension $n$ with minimal log discrepancy $1/m$. Minimal mld conjecture for varieties. For every $n\geq2$, the quotient $V/G$ has the smallest minimal log discrepancy among all klt Calabi–Yau varieties of dimension $n$. The construction gives minimal log discrepancies that decay doubly exponentially with dimension and are close to the conjecturally optimal values for pairs, providing evidence for the conjecture; the source does not state that it has been resolved.