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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.25629 |
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| _version_ | 1866912616848293888 |
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| author | Wu, Charlie |
| author_facet | Wu, Charlie |
| contents | Beukers and Heckman gave necessary and sufficient conditions for a hypergeometric function $_n F_{n-1}$ to be algebraic. We give a new proof of this theorem by passing through the Mehta-Seshadri correspondence. In particular, we explicitly write down the parabolic bundle corresponding to a unitary hypergeometric local system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_25629 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hypergeometric Local Systems and Parabolic Bundles Wu, Charlie Algebraic Geometry Beukers and Heckman gave necessary and sufficient conditions for a hypergeometric function $_n F_{n-1}$ to be algebraic. We give a new proof of this theorem by passing through the Mehta-Seshadri correspondence. In particular, we explicitly write down the parabolic bundle corresponding to a unitary hypergeometric local system. |
| title | Hypergeometric Local Systems and Parabolic Bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.25629 |