Asai-Flach classes and p-adic L-functions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915154838421504 |
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| author | Grossi, Giada Loeffler, David Zerbes, Sarah Livia |
| author_facet | Grossi, Giada Loeffler, David Zerbes, Sarah Livia |
| contents | We prove a formula for the Bloch-Kato logarithm of the bottom class in the Asai-Flach Euler system associated to a quadratic Hilbert modular form. We show that this can be expressed as a value, outside the interpolation range, of the p-adic Asai L-function constructed in the prequel paper arXiv:2307.07004. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07536 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Asai-Flach classes and p-adic L-functions Grossi, Giada Loeffler, David Zerbes, Sarah Livia Number Theory 11F41, 11F33, 11G18, 14G35 We prove a formula for the Bloch-Kato logarithm of the bottom class in the Asai-Flach Euler system associated to a quadratic Hilbert modular form. We show that this can be expressed as a value, outside the interpolation range, of the p-adic Asai L-function constructed in the prequel paper arXiv:2307.07004. |
| title | Asai-Flach classes and p-adic L-functions |
| topic | Number Theory 11F41, 11F33, 11G18, 14G35 |
| url | https://arxiv.org/abs/2309.07536 |