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On minimal log discrepancies

Florin Ambro
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Abstract

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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Florin Ambro. 1999-06-13. On minimal log discrepancies. https://arxiv.org/abs/math/9906089

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