On minimal log discrepancies

  title={On minimal log discrepancies},
  author={Florin Ambro},
  journal={Mathematical Research Letters},
  • Florin Ambro
  • Published 13 June 1999
  • Mathematics
  • Mathematical Research Letters
An explanation to the boundness of minimal log discrepancies conjectured by V.V. Shokurov would be that the minimal log discrepancies of a variety in its closed points define a lower semi-continuous function. We check this lower semi-continuity behaviour for varieties of dimension at most 3 and for toric varieties of arbitrary dimension. 
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  • Mathematics
    Proceedings of the Edinburgh Mathematical Society
  • 2021
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These are the revised notes of my lectures at the 1995 Santa Cruz summer institute. Changes from the Jan.26,1996 version: Major: 7.1--2; Medium: 3.7, 3.11, 5.3.3, 7.9.2, 9.8.