光滑三折线上最小对数差异的等价猜想

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2018-03-07 DOI:10.1090/jag/757

M. Kawakita

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引用次数: 17

摘要

在光滑变种上，最小对数差异的ACC等价于某个除数的对数差异的有界性，该除数计算最小对数差异。在三维中，我们将其简化为边界是正则部分和极大理想的乘积的情况。当最大理想的对数规范阈值至多为二分之一或至少为一时，我们证明了减少断言。

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On equivalent conjectures for minimal log discrepancies on smooth threefolds

On smooth varieties, the ACC for minimal log discrepancies is equivalent to the boundedness of the log discrepancy of some divisor which computes the minimal log discrepancy. In dimension three, we reduce it to the case when the boundary is the product of a canonical part and the maximal ideal to some power. We prove the reduced assertion when the log canonical threshold of the maximal ideal is either at most one-half or at least one.

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.