Report
F-Splittings of seminormal monoid algebras
| العنوان: | F-Splittings of seminormal monoid algebras |
|---|---|
| المؤلفون: | Hering, Milena, Tucker, Kevin |
| سنة النشر: | 2025 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, 13A35, 16S36, 13F45, 14B05 |
| الوصف: | 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. Comment: 20 pages, 1 Figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2501.12091 |
| رقم الانضمام: | edsarx.2501.12091 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |