Hochschild cohomology of differential operators in positive characteristic
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866914829669761024 |
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| author | Mundinger, Joshua |
| author_facet | Mundinger, Joshua |
| contents | For $k$ a field of positive characteristic and $X$ a smooth variety over $k$, we compute the Hochschild cohomology of Grothendieck's differential operators on $X$. The answer involves the derived inverse limit of the Frobenius acting on the cohomology of the structure sheaf of $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07373 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hochschild cohomology of differential operators in positive characteristic Mundinger, Joshua Algebraic Geometry Rings and Algebras Representation Theory 14F10 (Primary) 16E40, 14G17 (Secondary) For $k$ a field of positive characteristic and $X$ a smooth variety over $k$, we compute the Hochschild cohomology of Grothendieck's differential operators on $X$. The answer involves the derived inverse limit of the Frobenius acting on the cohomology of the structure sheaf of $X$. |
| title | Hochschild cohomology of differential operators in positive characteristic |
| topic | Algebraic Geometry Rings and Algebras Representation Theory 14F10 (Primary) 16E40, 14G17 (Secondary) |
| url | https://arxiv.org/abs/2303.07373 |