Moduli Spaces of Filtered G-local Systems on Curves
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908435167051776 |
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| author | Huang, Pengfei Sun, Hao |
| author_facet | Huang, Pengfei Sun, Hao |
| contents | In this paper, we construct the moduli spaces of filtered $G$-local systems on curves for an arbitrary reductive group $G$ over an algebraically closed field of characteristic zero. This provides an algebraic construction for the Betti moduli spaces in the tame nonabelian Hodge correspondence for vector bundles/principal bundles on noncompact curves. As a direct application, the tame nonabelian Hodge correspondence on noncompact curves holds not only for the relevant categories, but also for the moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09999 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Moduli Spaces of Filtered G-local Systems on Curves Huang, Pengfei Sun, Hao Algebraic Geometry 14D22, 14D25, 16G10 In this paper, we construct the moduli spaces of filtered $G$-local systems on curves for an arbitrary reductive group $G$ over an algebraically closed field of characteristic zero. This provides an algebraic construction for the Betti moduli spaces in the tame nonabelian Hodge correspondence for vector bundles/principal bundles on noncompact curves. As a direct application, the tame nonabelian Hodge correspondence on noncompact curves holds not only for the relevant categories, but also for the moduli spaces. |
| title | Moduli Spaces of Filtered G-local Systems on Curves |
| topic | Algebraic Geometry 14D22, 14D25, 16G10 |
| url | https://arxiv.org/abs/2304.09999 |