Frobenius splitting, strong F-regularity, and small Cohen-Macaulay modules
M Hochster, Y Yao - Transactions of the American Mathematical Society, 2023 - ams.org
Let $ M $ be a finitely generated module over an (F-finite local) ring $ R $ of prime
characteristic $ p> 0$. Let ${}^ e\! M $ denote the result of restricting scalars using the map …
characteristic $ p> 0$. Let ${}^ e\! M $ denote the result of restricting scalars using the map …
BCM-thresholds of hypersurfaces
S Rodríguez-Villalobos - arXiv preprint arXiv:2404.07438, 2024 - arxiv.org
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 …
the $ F $-thresholds, which we call BCM-thresholds, in the case of principal ideals. We prove …