The minimal log discrepancies on a smooth surface in positive characteristic
Algebraic Geometry
2020-03-11 v3
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.
Keywords
Cite
@article{arxiv.1905.12792,
title = {The minimal log discrepancies on a smooth surface in positive characteristic},
author = {Shihoko Ishii},
journal= {arXiv preprint arXiv:1905.12792},
year = {2020}
}
Comments
minor correction, calculations of an example added, final version, to appear in Math. Zeitschrift