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math.AC2025
A characteristic analog of formal lifting properties
Rankeya Datta, Noah Olander
A field extension of characteristic is formally étale if and only if the relative Frobenius of is an isomorphism. Inspired by this classical result, we explore…
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
Variants on Frobenius Intersection Flatness and Applications to Tate Algebras
Rankeya Datta, Neil Epstein, Karl Schwede +1
The theory of singularities defined by Frobenius has been extensively developed for -finite rings and for rings that are essentially of finite type over excellent local rings. H…