3 papers
math.AC2025
F-Splittings of seminormal monoid algebras
Milena Hering, Kevin Tucker
We compute a number of invariants of singularities defined via the Frobenius morphism for seminormal affine toric varieties over fields of characteristic p > 0. Our main technical…
math.AC2024
F-signature functions of diagonal hypersurfaces
Alessio Caminata, Samuel Shideler, Kevin Tucker +1
Let be a diagonal hypersurface in . We study the behavior of the function $ϕ_{f,p}({a}/{p^e})=p^{-ne}\dim_{\mathbb{F}_p}\big(A_p/(x_1^{p^e},\…
math.AG2023
On -pure inversion of adjunction
Thomas Polstra, Austyn Simpson, Kevin Tucker
We analyze adjunction and inversion of adjunction for the -purity of divisor pairs in characteristic . In this vein, we give a complete answer for principal divisors unde…