Kevin Tucker

1 citations · 1 across the 2 of their papers we have counts for

collaborators

Showing math.ACShow all

3 papers · 1 filter

math.AC2025

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 $F$ -signature and Hilbert-Kunz multiplicity by utilizing the perfectoidization functor of Bhatt-Scholze and Faltings' norma…

math.AC2025

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…

math.AC2025

Finite generation of split F-regular monoid algebras

Rankeya Datta, Karl Schwede, Kevin Tucker

Let $S$ be a submonoid of a free Abelian group of finite rank. We show that if $k$ is a field of prime characteristic such that the monoid $k$ -algebra $k [S]$ is split $F$ -regular,…