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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2109.00850 |
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| _version_ | 1866910419894927360 |
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| author | Li, Mao Sun, Hao |
| author_facet | Li, Mao Sun, Hao |
| contents | Let $G$ be a reductive group, and let $X$ be an algebraic curve over an algebraically closed field $k$ with positive characteristic. We prove a version of nonabelian Hodge correspondence for tame $G$-local systems over $X$ and logarithmic $G$-Higgs bundles over the Frobenius twist $X'$. To obtain a full description of the correspondence for the noncompact case, we introduce the language of parahoric group schemes to establish the correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_00850 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves Li, Mao Sun, Hao Algebraic Geometry 14D20, 14C30, 20G15, 14L15 Let $G$ be a reductive group, and let $X$ be an algebraic curve over an algebraically closed field $k$ with positive characteristic. We prove a version of nonabelian Hodge correspondence for tame $G$-local systems over $X$ and logarithmic $G$-Higgs bundles over the Frobenius twist $X'$. To obtain a full description of the correspondence for the noncompact case, we introduce the language of parahoric group schemes to establish the correspondence. |
| title | Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves |
| topic | Algebraic Geometry 14D20, 14C30, 20G15, 14L15 |
| url | https://arxiv.org/abs/2109.00850 |