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On the Equality of Test Ideals

2023/01/05 by Ian M. Aberbach, Aberbach, Ian, Craig Huneke +3
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2301.02202

openalex publication_date 2023/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a natural criterion which implies equality of the finitistic test ideal and test ideal in local rings of prime characteristic. Most notably, we show that the criterion is met by every local weakly F-regular ring whose anti-canonical algebra is Noetherian on the punctured spectrum.

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