Hida family of theta lift from U(1) to definite U(2)
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913979418279936 |
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| author | Lee, Yu-Sheng |
| author_facet | Lee, Yu-Sheng |
| contents | Let K/F be a CM extension satisfying the ordinary assumption for an odd prime p. In this article, we construct Hida families that interpolate theta lifts of algebraic Hecke characters to a definite unitary group U(2) defined from skew-Hermitian spaces over K, and show that the Hida family is primitive when the central L-value of the branch character of the family satisfies certain non-vanishing modulo p conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12351 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hida family of theta lift from U(1) to definite U(2) Lee, Yu-Sheng Number Theory 11F27(Primary) 11F67(Secondary) Let K/F be a CM extension satisfying the ordinary assumption for an odd prime p. In this article, we construct Hida families that interpolate theta lifts of algebraic Hecke characters to a definite unitary group U(2) defined from skew-Hermitian spaces over K, and show that the Hida family is primitive when the central L-value of the branch character of the family satisfies certain non-vanishing modulo p conditions. |
| title | Hida family of theta lift from U(1) to definite U(2) |
| topic | Number Theory 11F27(Primary) 11F67(Secondary) |
| url | https://arxiv.org/abs/2406.12351 |