The minimal log discrepancies on a smooth surface in positive characteristic
arXiv:1905.12792
Abstract
This paper shows that Mustata-Nakamura's conjecture holds for pairs consisting of a smooth surface and a multiideal with a real exponent over the base field of positive characteristic. As corollaries, we obtain the ascending chain condition of the minimal log discrepancies and of the log canonical thresholds for those pairs. We also obtain finiteness of the set of the minimal log discrepancies of those pairs for a fixed real exponent.
minor correction, calculations of an example added, final version, to appear in Math. Zeitschrift