6 papers
Obstructions to embedding singular curves in toric varieties
Maya Banks, Izzet Coskun, Kevin Tucker
For every integer , we show that there exists an irreducible, reduced curve which embeds in but in no projective normal toric variety of dimension less tha…
On rational chain connectedness of globally +-regular varieties
Emre Alp Ãzavcı, 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…
-intersection flatness of dagger and Berkovich Tate algebras
Rankeya Datta, Jack J Garzella, Kevin Tucker
We show, using the techniques developed in arXiv:2504.06444 and arXiv:2305.11139, that dagger algebras and Tate algebras in the sense of Berkovich in prime characteristic h…
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…
Limit -signature functions of two-variable binomial hypersurfaces
Anna Brosowsky, Izzet Coskun, Suchitra Pande +1
The -signature is a fundamental numerical invariant of singularities in positive characteristic. Its positivity detects strong -regularity, an important class of singularitie…
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…