On minimal log discrepancies on varieties with fixed Gorenstein index

  title={On minimal log discrepancies on varieties with fixed Gorenstein index},
  author={Yusuke Nakamura},
  journal={arXiv: Algebraic Geometry},
  • Yusuke Nakamura
  • Published 26 January 2015
  • Mathematics
  • arXiv: Algebraic Geometry
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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