On minimal log discrepancies

On minimal log discrepancies
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DOI:
10.4310/mrl.1999.v6.n5.a10
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发表时间:
1999-06
影响因子:
1
通讯作者:
Florin Ambro
Florin Ambro
中科院分区:
数学3区
文献类型:
--
作者:
Florin Ambro

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对于V.V. Shokurov猜想的最小对数差值的有界性的一种解释是,一个变量在其闭点上的最小对数差值定义了一个下半连续函数。我们对不超过3维的变数和任意维的环变数检验了这种下半连续性。
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.