F-Splittings of seminormal monoid algebras
Commutative Algebra
2025-01-22 v1
Abstract
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 tool is a combinatorial description of the potential splittings of iterates of Frobenius for seminormal monoid algebras. This allows us to give an easy formula for the F-splitting ratio of such rings as well as to compute the ideals stable under the Cartier algebra, including the test ideal.
Cite
@article{arxiv.2501.12091,
title = {F-Splittings of seminormal monoid algebras},
author = {Milena Hering and Kevin Tucker},
journal= {arXiv preprint arXiv:2501.12091},
year = {2025}
}
Comments
20 pages, 1 Figure