Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON DIVISORS COMPUTING MLD'S AND LCT'S

  • Blum, Harold (Department of Mathematics University of Utah)
  • Received : 2020.01.17
  • Accepted : 2020.10.16
  • Published : 2021.01.31
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Abstract

We show that if a divisor centered over a point on a smooth surface computes a minimal log discrepancy, then the divisor also computes a log canonical threshold. To prove the result, we study the asymptotic log canonical threshold of the graded sequence of ideals associated to a divisor over a variety. We systematically study this invariant and prove a result describing which divisors compute asymptotic log canonical thresholds.

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References

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