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math.AC2020★ 3 cited
Excellence, F-singularities, and solidity
Rankeya Datta, Takumi Murayama, Karen E. Smith
An -algebra is -solid if there exists a nonzero -linear map . In characteristic , the study of -singularities such as Frobenius splittings impli…
math.AC2019
On some permanence properties of (derived) splinters
Rankeya Datta, Kevin Tucker
We show that Noetherian splinters ascend under essentially étale homomorphisms. Along the way, we also prove that the henselization of a Noetherian local splinter is always a splin…