Frobenius-Witt differentials and regularity
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866916424764620800 |
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| author | Saito, Takeshi |
| author_facet | Saito, Takeshi |
| contents | T. Dupuy, E. Katz, J. Rabinoff, D. Zureick-Brown introduced the module of total $p$-differentials for a ring over $Z/p^2Z$. We study the same construction for a ring over $Z_{(p)}$ and prove a regularity criterion. For a local ring, the tensor product with the residue field is constructed in a different way by O. Gabber, L. Ramero. In another article arXiv:2006.00448, we use the sheaf of FW-differentials to define the cotangent bundle and the micro-support of an etale sheaf. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2008_04728 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Frobenius-Witt differentials and regularity Saito, Takeshi Algebraic Geometry Commutative Algebra Number Theory 13N05, 13H05, 14F10 T. Dupuy, E. Katz, J. Rabinoff, D. Zureick-Brown introduced the module of total $p$-differentials for a ring over $Z/p^2Z$. We study the same construction for a ring over $Z_{(p)}$ and prove a regularity criterion. For a local ring, the tensor product with the residue field is constructed in a different way by O. Gabber, L. Ramero. In another article arXiv:2006.00448, we use the sheaf of FW-differentials to define the cotangent bundle and the micro-support of an etale sheaf. |
| title | Frobenius-Witt differentials and regularity |
| topic | Algebraic Geometry Commutative Algebra Number Theory 13N05, 13H05, 14F10 |
| url | https://arxiv.org/abs/2008.04728 |