计算标志变量的F-pure阈值

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-09-17 DOI:10.1016/j.jalgebra.2025.08.034

Justin Fong

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引用次数: 0

摘要

我们计算了特征值为p>；0的自然锥的f -纯阈值。我们的计算主要集中在算术上是Gorenstein的标志变量上，但是我们在非Gorenstein的情况下提供了一些结果。我们的目标是确定锥的a不变量。因此，我们发现的f纯阈值与特征p无关，因此可以立即得到特征0中标志的对数规范阈值的值。

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Computing the F-pure threshold of flag varieties

We compute the F-pure threshold of the natural cone over flag varieties in characteristic

p > 0

. Our calculations are mainly focused on flag varieties that are arithmetically Gorenstein, but we offer some results in the non-Gorenstein case. Our goal is to determine the a-invariant of the cone. As a result, the F-pure thresholds we find are independent of the characteristic p, hence one immediately gets the value of the log canonical threshold of flags in characteristic 0 as well.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.