Comparison of canonical periods under base change
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909951827378176 |
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| author | Lv, Qingshen Xie, Bingyong |
| author_facet | Lv, Qingshen Xie, Bingyong |
| contents | In this paper we prove the canonical period of a Hilbert modular form with respect to the base change of a real quadratic extension differs from the square of its own canonical period only by a $p$-adic unit under some conditions. We prove this by proving a specific version of anticyclotomic Iwasawa main conjecture for Hilbert modular forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08599 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comparison of canonical periods under base change Lv, Qingshen Xie, Bingyong Number Theory In this paper we prove the canonical period of a Hilbert modular form with respect to the base change of a real quadratic extension differs from the square of its own canonical period only by a $p$-adic unit under some conditions. We prove this by proving a specific version of anticyclotomic Iwasawa main conjecture for Hilbert modular forms. |
| title | Comparison of canonical periods under base change |
| topic | Number Theory |
| url | https://arxiv.org/abs/2512.08599 |