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math.AC2025
-intersection flatness of dagger and Berkovich Tate algebras
Rankeya Datta, Jack J Garzella, Kevin Tucker
We show, using the techniques developed in arXiv:2504.06444 and arXiv:2305.11139, that dagger algebras and Tate algebras in the sense of Berkovich in prime characteristic h…
math.AC2025
On F-pure thresholds and quasi-F-purity of hypersurfaces
Jack J Garzella, Vignesh Jagathese
We show that quasi--pure but not -pure isolated quasi-homogeneous hypersurface singularities necessarily have -pure threshold . This extends work of Bhatt…