Moduli of Anti-Invariant Higgs Bundles
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910595964469248 |
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| author | Réga, Karim |
| author_facet | Réga, Karim |
| contents | We study the moduli of anti-invariant Higgs bundles as introduced by Zelaci. Using recent existence results of Alper, Halpern-Leistner and Heinloth we establish the existence of a separated good moduli space for semistable anti-invariant Higgs bundles. Along the way this produces a non-GIT proof of the existence of a separated good moduli space for semistable Higgs bundles. We also prove the properness of the Hitchin system in this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05793 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moduli of Anti-Invariant Higgs Bundles Réga, Karim Algebraic Geometry We study the moduli of anti-invariant Higgs bundles as introduced by Zelaci. Using recent existence results of Alper, Halpern-Leistner and Heinloth we establish the existence of a separated good moduli space for semistable anti-invariant Higgs bundles. Along the way this produces a non-GIT proof of the existence of a separated good moduli space for semistable Higgs bundles. We also prove the properness of the Hitchin system in this setting. |
| title | Moduli of Anti-Invariant Higgs Bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2409.05793 |