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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2511.21384 |
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| _version_ | 1866911288663212032 |
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| author | Groutides, Alexandros |
| author_facet | Groutides, Alexandros |
| contents | We construct an Euler system attached to general-type cohomological cuspidal automorphic representations of $\mathrm{GSp}(4)$ twisted by a Groessencharacter of an imaginary quadratic field. We then use this to bound strict Selmer groups under standard hypotheses. In addition, our approach gives a way of extending the $\mathrm{GSp}(4)\times\mathrm{GL}(2)$ Euler system of Hsu-Jin-Sakamoto to a motivic statement which also covers certain small weights omitted in op$.$cit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_21384 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Euler systems for $\mathrm{GSp}(4)$ over imaginary quadratic fields Groutides, Alexandros Number Theory We construct an Euler system attached to general-type cohomological cuspidal automorphic representations of $\mathrm{GSp}(4)$ twisted by a Groessencharacter of an imaginary quadratic field. We then use this to bound strict Selmer groups under standard hypotheses. In addition, our approach gives a way of extending the $\mathrm{GSp}(4)\times\mathrm{GL}(2)$ Euler system of Hsu-Jin-Sakamoto to a motivic statement which also covers certain small weights omitted in op$.$cit. |
| title | Euler systems for $\mathrm{GSp}(4)$ over imaginary quadratic fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2511.21384 |