Extending one-forms on $F$-regular singularities
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911568011198464 |
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| author | Kawakami, Tatsuro Sato, Kenta |
| author_facet | Kawakami, Tatsuro Sato, Kenta |
| contents | We prove the logarithmic extension theorem for one-forms on strongly $F$-regular singularities. Additionally, we establish the logarithmic extension theorem for one-forms on three-dimensional klt singularities in characteristic $p>41$. To this end, we reduce the problem to the logarithmic extension theorem for two-dimensional klt singularities with imperfect residue fields using a technique based on Cartier operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17148 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extending one-forms on $F$-regular singularities Kawakami, Tatsuro Sato, Kenta Algebraic Geometry Commutative Algebra 14F10, 13A35, 14B05 We prove the logarithmic extension theorem for one-forms on strongly $F$-regular singularities. Additionally, we establish the logarithmic extension theorem for one-forms on three-dimensional klt singularities in characteristic $p>41$. To this end, we reduce the problem to the logarithmic extension theorem for two-dimensional klt singularities with imperfect residue fields using a technique based on Cartier operators. |
| title | Extending one-forms on $F$-regular singularities |
| topic | Algebraic Geometry Commutative Algebra 14F10, 13A35, 14B05 |
| url | https://arxiv.org/abs/2502.17148 |