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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2410.09929 |
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| _version_ | 1866917133187809280 |
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| author | Huang, Pengfei Qin, Yichen Sun, Hao |
| author_facet | Huang, Pengfei Qin, Yichen Sun, Hao |
| contents | Motivated by Simpson's conjecture on the motivicity of rigid irreducible connections, Esnault and Groechenig demonstrated that the mod-$p$ reductions of such connections on smooth projective varieties have nilpotent $p$-curvatures. In this paper, we extend their result to integrable $G$-connections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09929 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigid $G$-connections and nilpotency of $p$-curvatures Huang, Pengfei Qin, Yichen Sun, Hao Algebraic Geometry Motivated by Simpson's conjecture on the motivicity of rigid irreducible connections, Esnault and Groechenig demonstrated that the mod-$p$ reductions of such connections on smooth projective varieties have nilpotent $p$-curvatures. In this paper, we extend their result to integrable $G$-connections. |
| title | Rigid $G$-connections and nilpotency of $p$-curvatures |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.09929 |