On rank $2$ hypergeometric motives
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911526677381120 |
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| author | Madriaga, Franco Golfieri Pacetti, Ariel Villegas, Fernando Rodriguez |
| author_facet | Madriaga, Franco Golfieri Pacetti, Ariel Villegas, Fernando Rodriguez |
| contents | Hypergeometric motives are family of motives associated to hypergeometric local systems. Their special features, in particular their rigidity, makes them more tractable than general motives. In the present article we prove most of the properties that they are expected to satisfy in the rank $2$ case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17978 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On rank $2$ hypergeometric motives Madriaga, Franco Golfieri Pacetti, Ariel Villegas, Fernando Rodriguez Number Theory 33C05, 11T23, 11F80, 11S40 Hypergeometric motives are family of motives associated to hypergeometric local systems. Their special features, in particular their rigidity, makes them more tractable than general motives. In the present article we prove most of the properties that they are expected to satisfy in the rank $2$ case. |
| title | On rank $2$ hypergeometric motives |
| topic | Number Theory 33C05, 11T23, 11F80, 11S40 |
| url | https://arxiv.org/abs/2603.17978 |