102 citations · 410 across the 32 of their papers we have counts for
11 papers · 1 filter
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,…
Mittag-Leffler modules and variants on intersection flatness
Rankeya Datta, Neil Epstein, Kevin Tucker
We systematically study the intersection flatness and Ohm-Rush properties for modules over a commutative ring, drawing inspiration from the work of Ohm and Rush and of Hochster and…
Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups
Hanlin Cai, Seungsu Lee, Linquan Ma +2
We define a (perfectoid) mixed characteristic version of -signature and Hilbert-Kunz multiplicity by utilizing the perfectoidization functor of Bhatt-Scholze and Faltings' norma…
The theory of F-rational signature
Ilya Smirnov, Kevin Tucker
F-signature is an important numeric invariant of singularities in positive characteristic that can be used to detect strong F-regularity. One would like to have a variant that rath…
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…
Symbolic and Ordinary Powers of Ideals in Hibi Rings
Janet Page, Daniel Smolkin, Kevin Tucker
We exhibit a class of Hibi rings which are diagonally F-regular over fields of positive characteristic, and diagonally -regular type over fields of characteristic zero, in the s…