The companion section for classical groups
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913410585722880 |
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| author | Hameister, Thomas Chau, Ngo Bao |
| author_facet | Hameister, Thomas Chau, Ngo Bao |
| contents | We use the companion matrix construction for $\mathrm{GL}_n$ to build canonical sections of the Chevalley map $[\mathfrak{g}/G]\to \mathfrak{g}/\!/ G$ for classical groups $G$ as well as the group $G_2$. To do so, we construct canonical tensors on the associated spectral covers. As an application, we make explicit lattice descriptions of affine Springer fibers and Hitchin fibers for classical groups and $G_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00962 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The companion section for classical groups Hameister, Thomas Chau, Ngo Bao Algebraic Geometry We use the companion matrix construction for $\mathrm{GL}_n$ to build canonical sections of the Chevalley map $[\mathfrak{g}/G]\to \mathfrak{g}/\!/ G$ for classical groups $G$ as well as the group $G_2$. To do so, we construct canonical tensors on the associated spectral covers. As an application, we make explicit lattice descriptions of affine Springer fibers and Hitchin fibers for classical groups and $G_2$. |
| title | The companion section for classical groups |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2407.00962 |