Asai-Flach classes, p-adic L-functions and the Bloch-Kato conjecture for GO(4)
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910832230662144 |
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| author | Grossi, Giada Loeffler, David Zerbes, Sarah Livia |
| author_facet | Grossi, Giada Loeffler, David Zerbes, Sarah Livia |
| contents | We prove the Bloch-Kato conjecture for critical values of Asai L-functions of p-ordinary Hilbert modular forms over quadratic fields (with p split); and one inclusion in the Iwasawa main conjecture for these L-functions (up to a power of p). Along the way, we also prove a version of the p-adic Eichler-Shimura comparison isomorphism for Hida families of Hilbert modular forms. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_17055 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asai-Flach classes, p-adic L-functions and the Bloch-Kato conjecture for GO(4) Grossi, Giada Loeffler, David Zerbes, Sarah Livia Number Theory 11F41, 11F33, 11G18, 14G35 We prove the Bloch-Kato conjecture for critical values of Asai L-functions of p-ordinary Hilbert modular forms over quadratic fields (with p split); and one inclusion in the Iwasawa main conjecture for these L-functions (up to a power of p). Along the way, we also prove a version of the p-adic Eichler-Shimura comparison isomorphism for Hida families of Hilbert modular forms. |
| title | Asai-Flach classes, p-adic L-functions and the Bloch-Kato conjecture for GO(4) |
| topic | Number Theory 11F41, 11F33, 11G18, 14G35 |
| url | https://arxiv.org/abs/2407.17055 |