Local-global principles for the existence of Levi factors
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908917084192768 |
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| author | Harbater, David Hartmann, Julia McNinch, George |
| author_facet | Harbater, David Hartmann, Julia McNinch, George |
| contents | We discuss local-global principles for the existence of Levi factors (i.e., complements to the unipotent radical) for linear algebraic groups over one-variable function fields. We give examples of disconnected groups that fail the local-global principle, and prove a strong local-global principle in the presence of Levi descent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26501 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local-global principles for the existence of Levi factors Harbater, David Hartmann, Julia McNinch, George Group Theory Algebraic Geometry 20G07, 20G15, 14G12 We discuss local-global principles for the existence of Levi factors (i.e., complements to the unipotent radical) for linear algebraic groups over one-variable function fields. We give examples of disconnected groups that fail the local-global principle, and prove a strong local-global principle in the presence of Levi descent. |
| title | Local-global principles for the existence of Levi factors |
| topic | Group Theory Algebraic Geometry 20G07, 20G15, 14G12 |
| url | https://arxiv.org/abs/2603.26501 |