# On minimal log discrepancies

@article{Ambro1999OnML,
title={On minimal log discrepancies},
author={Florin Ambro},
journal={Mathematical Research Letters},
year={1999},
volume={6},
pages={573-580}
}
• 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.
59 Citations
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