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arxiv: math/9906089 · v1 · submitted 1999-06-13 · 🧮 math.AG

On minimal log discrepancies

classification 🧮 math.AG
keywords discrepanciesminimaldimensionlowervarietiesarbitrarybehaviourboundness
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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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