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arXiv · 1501.06248

On minimal log discrepancies on varieties with fixed Gorenstein index

Yusuke Nakamura
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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.

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Yusuke Nakamura. 2015-01-26. On minimal log discrepancies on varieties with fixed Gorenstein index. https://doi.org/10.1307/mmj/1457101816

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