On the Tannakian group scheme of $\mathcal{D}$-modules
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917057692434432 |
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| author | Yi, Xiaodong |
| author_facet | Yi, Xiaodong |
| contents | We prove a Lefschetz theorem for the Tannakian group scheme of $\mathcal{D}$-modules, in arbitrary characteristic. In characteristic $0$, We prove a Künneth formula for the Tannakian group scheme of regular singular integrable connections, and disprove it for the Tannakian group scheme of all integrable connections without any regularity assumption. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17564 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Tannakian group scheme of $\mathcal{D}$-modules Yi, Xiaodong Algebraic Geometry We prove a Lefschetz theorem for the Tannakian group scheme of $\mathcal{D}$-modules, in arbitrary characteristic. In characteristic $0$, We prove a Künneth formula for the Tannakian group scheme of regular singular integrable connections, and disprove it for the Tannakian group scheme of all integrable connections without any regularity assumption. |
| title | On the Tannakian group scheme of $\mathcal{D}$-modules |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.17564 |