Twisting the Infinitesimal Site
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917755712700416 |
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| author | Mundinger, Joshua |
| author_facet | Mundinger, Joshua |
| contents | We classify twistings of Grothendieck's differential operators on a smooth variety $X$ in prime characteristic $p$. We prove isomorphism classes of twistings are in bijection with $H^2(X,\mathbb{Z}_p(1))$, the degree 2, weight 1 syntomic cohomology of $X$. We also discuss the relationship between twistings of crystalline and Grothendieck differential operators. Twistings in mixed characteristic are also analyzed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_06029 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Twisting the Infinitesimal Site Mundinger, Joshua Algebraic Geometry Representation Theory Primary: 14F10, Secondary: 14G17 We classify twistings of Grothendieck's differential operators on a smooth variety $X$ in prime characteristic $p$. We prove isomorphism classes of twistings are in bijection with $H^2(X,\mathbb{Z}_p(1))$, the degree 2, weight 1 syntomic cohomology of $X$. We also discuss the relationship between twistings of crystalline and Grothendieck differential operators. Twistings in mixed characteristic are also analyzed. |
| title | Twisting the Infinitesimal Site |
| topic | Algebraic Geometry Representation Theory Primary: 14F10, Secondary: 14G17 |
| url | https://arxiv.org/abs/2310.06029 |