3 papers
math.AG2026
On rational chain connectedness of globally +-regular varieties
Emre Alp Özavcı, Zsolt Patakfalvi, Kevin Tucker +2
We prove that globally -regular varieties are rationally chain connected in dimension three and mixed characteristic with residue field characteristic . We also introduce a…
math.AC2025
Variants on Frobenius Intersection Flatness and Applications to Tate Algebras
Rankeya Datta, Neil Epstein, Karl Schwede +1
The theory of singularities defined by Frobenius has been extensively developed for -finite rings and for rings that are essentially of finite type over excellent local rings. H…
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…