A criterion for log regularity via log Frobenius-Witt differentials
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917432429379584 |
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| author | Takeuchi, Ryoma |
| author_facet | Takeuchi, Ryoma |
| contents | T. Saito introduced FW-derivations and the modules of FW-differentials. He gave a regularity criterion in terms of the modules of FW-differentials. In this paper, we introduce logarithmic analogues of FW-derivations and the modules of FW-differentials. We study basic properties of them and give a logarithmic regularity criterion in terms of the modules of logarithmic FW-differentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17394 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A criterion for log regularity via log Frobenius-Witt differentials Takeuchi, Ryoma Commutative Algebra Algebraic Geometry T. Saito introduced FW-derivations and the modules of FW-differentials. He gave a regularity criterion in terms of the modules of FW-differentials. In this paper, we introduce logarithmic analogues of FW-derivations and the modules of FW-differentials. We study basic properties of them and give a logarithmic regularity criterion in terms of the modules of logarithmic FW-differentials. |
| title | A criterion for log regularity via log Frobenius-Witt differentials |
| topic | Commutative Algebra Algebraic Geometry |
| url | https://arxiv.org/abs/2604.17394 |