Invariant vector bundles and Hitchin systems
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866913781340176384 |
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| author | Ouaras, Zakaria Zelaci, Hacen |
| author_facet | Ouaras, Zakaria Zelaci, Hacen |
| contents | Let $X\rightarrow Y$ be a Galois cover with Galois group $Γ$, where $X$ and $Y$ are smooth complex projective curve of genus $\geqslant 2$. In this paper, we study the moduli spaces of semistable $Γ-$invariant vector bundles on $X$ and classify their connected components. We also study the Hitchin systems on these moduli spaces and determine their fibers in the smooth case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05440 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant vector bundles and Hitchin systems Ouaras, Zakaria Zelaci, Hacen Algebraic Geometry Let $X\rightarrow Y$ be a Galois cover with Galois group $Γ$, where $X$ and $Y$ are smooth complex projective curve of genus $\geqslant 2$. In this paper, we study the moduli spaces of semistable $Γ-$invariant vector bundles on $X$ and classify their connected components. We also study the Hitchin systems on these moduli spaces and determine their fibers in the smooth case. |
| title | Invariant vector bundles and Hitchin systems |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2504.05440 |