On minimal log discrepancies

Mathematics – Algebraic Geometry

Scientific paper

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17 pages, LATEX

Scientific paper

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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