# On minimal log discrepancies on varieties with fixed Gorenstein index

@article{Nakamura2015OnML, title={On minimal log discrepancies on varieties with fixed Gorenstein index}, author={Yusuke Nakamura}, journal={arXiv: Algebraic Geometry}, year={2015} }

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.

## 15 Citations

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