在lc表面上计算最小对数差异的除法

IF 0.8 3区数学 Q3 MATHEMATICS

Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2021-01-01 DOI:10.1017/S0305004123000051

Jihao Liu, Lingyao Xie

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引用次数: 2

摘要

摘要设$(X\ni X,B)$是一个lc曲面元。如果$X\ni X $是klt，我们证明存在一个计算$(X\ni X,B)$的最小对数差异的除数，该除数是$X\ni X $的Kollár分量。如果$B\not=0$或$X\ni X $不是Du Val，我们证明任何计算$(X\ni X,B)$的最小对数差异的除数都是$X\ni X $的潜在lc位。这扩展了Blum和Kawakita的结果，他们独立地表明，在光滑表面上计算最小对数差异的任何除数都是潜在的lc位置。

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Divisors computing minimal log discrepancies on lc surfaces

Abstract Let $(X\ni x,B)$ be an lc surface germ. If $X\ni x$ is klt, we show that there exists a divisor computing the minimal log discrepancy of $(X\ni x,B)$ that is a Kollár component of $X\ni x$ . If $B\not=0$ or $X\ni x$ is not Du Val, we show that any divisor computing the minimal log discrepancy of $(X\ni x,B)$ is a potential lc place of $X\ni x$ . This extends a result of Blum and Kawakita who independently showed that any divisor computing the minimal log discrepancy on a smooth surface is a potential lc place.

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来源期刊

Mathematical Proceedings of the Cambridge Philosophical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Papers which advance knowledge of mathematics, either pure or applied, will be considered by the Editorial Committee. The work must be original and not submitted to another journal.