Austyn Simpson

activity

20192026

most cited

F

-nilpotent rings and permanence properties

9 citations · 11 across the 12 of their papers we have counts for

collaborators

Showing 2025 · math.ACShow all

3 papers · 2 filters

math.AC2025

Hilbert-Kunz multiplicity and $F$ -signature can disagree

Seungsu Lee, Suchitra Pande, Austyn Simpson

We compute the $F$ -signature function of the ample cone of any nontrivial ruled surface over $P_{k}^{1}$ where $k$ is an algebraically closed field of prime characteristic. As…

math.AC2025

$F$ -injectivity does not imply $F$ -fullness in normal domains

Alessandro De Stefani, Thomas Polstra, Austyn Simpson

We construct examples of noetherian three-dimensional local geometrically normal domains of prime characteristic which are $F$ -injective but not $F$ -full. Along the way, we find ex…

math.AC2025

On deformation of perfectoid purity in Gorenstein domains

Benjamin Baily, Karina Dovgodko, Austyn Simpson +1

If $(R, m)$ is a complete local ring of mixed characteristic $(0, p)$ and $R / pR$ is an $F$ -pure Gorenstein domain, we find a sufficient condition for $R$ to be perfectoid…

Hilbert-Kunz multiplicity and F-signature can disagree

F-injectivity does not imply F-fullness in normal domains

On deformation of perfectoid purity in Gorenstein domains

Hilbert-Kunz multiplicity and $F$ -signature can disagree

$F$ -injectivity does not imply $F$ -fullness in normal domains