BCM-thresholds of hypersurfaces

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-02-06 DOI:10.1016/j.jalgebra.2025.02.009

Sandra Rodríguez-Villalobos

引用次数: 0

Abstract

In this paper, we use big Cohen-Macaulay algebras to define a characteristic free analog of the F-thresholds, which we call BCM-thresholds, in the case of principal ideals. We prove that, similarly to the case of the F-thresholds, the set of BCM-thresholds and the set of BCM-jumping numbers agree. We also relate some BCM-thresholds to splittings of maps from the ring to a big Cohen-Macaulay algebra.

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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.