F-Splittings of seminormal monoid algebras
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912197326667776 |
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| author | Hering, Milena Tucker, Kevin |
| author_facet | Hering, Milena Tucker, Kevin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12091 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | F-Splittings of seminormal monoid algebras Hering, Milena Tucker, Kevin Commutative Algebra 13A35, 16S36, 13F45, 14B05 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. |
| title | F-Splittings of seminormal monoid algebras |
| topic | Commutative Algebra 13A35, 16S36, 13F45, 14B05 |
| url | https://arxiv.org/abs/2501.12091 |