On the Bloch-Kato conjecture for GSp(4)
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866918457881133056 |
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| author | Loeffler, David Zerbes, Sarah Livia |
| author_facet | Loeffler, David Zerbes, Sarah Livia |
| contents | We prove an explicit reciprocity law for the Euler system attached to the spin motive of a genus 2 Siegel modular form. As consequences, we obtain one inclusion of the Iwasawa Main Conjecture for such motives, and the Bloch--Kato conjecture in analytic rank 0 for their critical twists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_05960 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the Bloch-Kato conjecture for GSp(4) Loeffler, David Zerbes, Sarah Livia Number Theory 11F46, 11F67, 11F80, 11R23 We prove an explicit reciprocity law for the Euler system attached to the spin motive of a genus 2 Siegel modular form. As consequences, we obtain one inclusion of the Iwasawa Main Conjecture for such motives, and the Bloch--Kato conjecture in analytic rank 0 for their critical twists. |
| title | On the Bloch-Kato conjecture for GSp(4) |
| topic | Number Theory 11F46, 11F67, 11F80, 11R23 |
| url | https://arxiv.org/abs/2003.05960 |