A $Λ$-adic Kudla lift
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911376415391744 |
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| author | Iudica, Francesco Maria |
| author_facet | Iudica, Francesco Maria |
| contents | The Kudla lift studied in this article is a classical version for Picard modular forms of the automorphic theta lift between $\text{GU}(2)$ and $\text{GU}(3)$. We construct an explicit $p$-adic analytic family of Picard modular forms varying with respect to the weight and level, which interpolates a so-called $p$-modification of the lift at arithmetic weights, by exploiting a formula of Finis for the Fourier-Jacobi coefficients of a lifted form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19992 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A $Λ$-adic Kudla lift Iudica, Francesco Maria Number Theory 11F27, 11F33, 11F55 The Kudla lift studied in this article is a classical version for Picard modular forms of the automorphic theta lift between $\text{GU}(2)$ and $\text{GU}(3)$. We construct an explicit $p$-adic analytic family of Picard modular forms varying with respect to the weight and level, which interpolates a so-called $p$-modification of the lift at arithmetic weights, by exploiting a formula of Finis for the Fourier-Jacobi coefficients of a lifted form. |
| title | A $Λ$-adic Kudla lift |
| topic | Number Theory 11F27, 11F33, 11F55 |
| url | https://arxiv.org/abs/2410.19992 |