19 citations · 53 across the 19 of their papers we have counts for
24 papers
Frobenius splitting of valuation rings revisited
Rankeya Datta, Karen E. Smith
Let be a function field over an -finite field of characteristic and let be a valuation of . We show is an Abhyankar valuation of if and only i…
When is Frobenius epic?
Javier Carvajal-Rojas, Rankeya Datta, Noah Olander +1
We prove that a homomorphism of rings of prime characteristic is b-nil formally unramified if and only if its relative Frobenius is an epimorphism. We specialize this result under…
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…
-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…
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…
Finite generation of split F-regular monoid algebras
Rankeya Datta, Karl Schwede, Kevin Tucker
Let be a submonoid of a free Abelian group of finite rank. We show that if is a field of prime characteristic such that the monoid -algebra is split -regular,…