Minimal log discrepancies in positive characteristic

  title={Minimal log discrepancies in positive characteristic},
  author={Kohsuke Shibata},
  journal={Communications in Algebra},
  pages={571 - 582}
  • Kohsuke Shibata
  • Published 10 December 2019
  • Mathematics
  • Communications in Algebra
Abstract We show the existence of prime divisors computing minimal log discrepancies in positive characteristic except for a special case. Moreover we prove the lower semicontinuity of minimal log discrepancies for smooth varieties in positive characteristic if the exponent of an ideal is less than the log canonical threshold of the ideal. 
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