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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | https://arxiv.org/abs/2605.25935 |
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| _version_ | 1866916044866584576 |
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| author | Riestenberg, J. Maxwell Taha, Diaaeldin Trettel, Steve Wienhard, Anna |
| author_facet | Riestenberg, J. Maxwell Taha, Diaaeldin Trettel, Steve Wienhard, Anna |
| contents | We prove arithmeticity for two degree-six symplectic hypergeometric monodromy groups, called C-47, and C-55 in the paper \cite{BajpaiDonaNitsche2025Thin} by Bajpai-Dona-Nitsche. This settles two of the three remaining cases, whose classification was left open by \cite{BajpaiDonaNitsche2025Thin}. The arithmeticity certificates were found with AlphaEvolve and then independently verified with exact matrix arithmetic over $\QQ$ using a computer. We include illustrations of limit sets of several degree-six symplectic hypergeometric monodromy groups. Based on these illustration we conjecture C-32 to be thin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25935 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Certifying Arithmeticity for Two Degree-Six Symplectic Hypergeometric Monodromy Groups Riestenberg, J. Maxwell Taha, Diaaeldin Trettel, Steve Wienhard, Anna Group Theory Representation Theory We prove arithmeticity for two degree-six symplectic hypergeometric monodromy groups, called C-47, and C-55 in the paper \cite{BajpaiDonaNitsche2025Thin} by Bajpai-Dona-Nitsche. This settles two of the three remaining cases, whose classification was left open by \cite{BajpaiDonaNitsche2025Thin}. The arithmeticity certificates were found with AlphaEvolve and then independently verified with exact matrix arithmetic over $\QQ$ using a computer. We include illustrations of limit sets of several degree-six symplectic hypergeometric monodromy groups. Based on these illustration we conjecture C-32 to be thin. |
| title | Certifying Arithmeticity for Two Degree-Six Symplectic Hypergeometric Monodromy Groups |
| topic | Group Theory Representation Theory |
| url | https://arxiv.org/abs/2605.25935 |