Brauer group of moduli of stable parabolic $\text{SL}(r,\mathbb{C})$ and $\text{PGL}(r,\mathbb{C})$-connections and Higgs bundles over a curve
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910039088824320 |
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| author | Adroja, Pavan Chakraborty, Sujoy |
| author_facet | Adroja, Pavan Chakraborty, Sujoy |
| contents | Let $X$ be a compact Riemann surface of genus at least $3$. We compute the Brauer groups of the moduli spaces of stable parabolic $\text{SL}(r,\mathbb{C})$-connections and stable strongly parabolic $\text{SL}(r,\mathbb{C})$-Higgs bundles over $X$. We also establish an equality of the Brauer group of the moduli stack of stable parabolic $\text{PGL}(r,\mathbb{C})$-connections and the smooth locus of its coarse moduli space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02608 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Brauer group of moduli of stable parabolic $\text{SL}(r,\mathbb{C})$ and $\text{PGL}(r,\mathbb{C})$-connections and Higgs bundles over a curve Adroja, Pavan Chakraborty, Sujoy Algebraic Geometry 14D20, 14D22, 14F22, 14H60 Let $X$ be a compact Riemann surface of genus at least $3$. We compute the Brauer groups of the moduli spaces of stable parabolic $\text{SL}(r,\mathbb{C})$-connections and stable strongly parabolic $\text{SL}(r,\mathbb{C})$-Higgs bundles over $X$. We also establish an equality of the Brauer group of the moduli stack of stable parabolic $\text{PGL}(r,\mathbb{C})$-connections and the smooth locus of its coarse moduli space. |
| title | Brauer group of moduli of stable parabolic $\text{SL}(r,\mathbb{C})$ and $\text{PGL}(r,\mathbb{C})$-connections and Higgs bundles over a curve |
| topic | Algebraic Geometry 14D20, 14D22, 14F22, 14H60 |
| url | https://arxiv.org/abs/2603.02608 |