We prove that for each positive integer n, there exists a positive number such that n-dimensional toric quotient singularities satisfy the ACC for MLDs on the interval . In the course of the proof, we show a geometric Jordan property for finite automorphism groups of affine toric varieties.
"Small Quotient Minimal Log Discrepancies." Michigan Math. J. Advance Publication 1 - 27, 2022. https://doi.org/10.1307/mmj/20205985