On the Equality of Test Ideals

Autor: Aberbach, Ian, Huneke, Craig, Polstra, Thomas
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: Comments welcome. arXiv admin note: substantial text overlap with arXiv:1909.11231
Databáze: arXiv