Very stable regular $G$-Higgs bundles
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866912255997640704 |
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| author | González, Miguel |
| author_facet | González, Miguel |
| contents | We give a classification of very stable $G$-Higgs bundles in the generically regular Higgs field case for $G$ an arbitrary connected semisimple complex group. This extends the classification for $G=\mathrm{GL}_n(\mathbb C)$ and fixed point type $(1,1,\dots,1)$ given by Hausel and Hitchin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Very stable regular $G$-Higgs bundles González, Miguel Algebraic Geometry Differential Geometry 14H60 (Primary) 14H70, 14D20 (Secondary) We give a classification of very stable $G$-Higgs bundles in the generically regular Higgs field case for $G$ an arbitrary connected semisimple complex group. This extends the classification for $G=\mathrm{GL}_n(\mathbb C)$ and fixed point type $(1,1,\dots,1)$ given by Hausel and Hitchin. |
| title | Very stable regular $G$-Higgs bundles |
| topic | Algebraic Geometry Differential Geometry 14H60 (Primary) 14H70, 14D20 (Secondary) |
| url | https://arxiv.org/abs/2503.01289 |