On minimal log discrepancies on varieties with fixed Gorenstein index
Algebraic Geometry
2024-04-30 v1
Abstract
We generalize the rationality theorem of the accumulation points of log canonical thresholds which was proved by Hacon, M\textsuperscript{c}Kernan, and Xu. Further, we apply the rationality to the ACC problem on the minimal log discrepancies. We study the set of log discrepancies on varieties with fixed Gorenstein index. As a corollary, we prove that the minimal log discrepancies of three-dimensional canonical pairs with fixed coefficients satisfy the ACC.
Keywords
Cite
@article{arxiv.1501.06248,
title = {On minimal log discrepancies on varieties with fixed Gorenstein index},
author = {Yusuke Nakamura},
journal= {arXiv preprint arXiv:1501.06248},
year = {2024}
}
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21 pages