Hirzebruch-Zagier cycles in $p$-adic families and adjoint $L$-values
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914598230163456 |
|---|---|
| author | Cauchi, Antonio Nicole, Marc-Hubert Rosso, Giovanni |
| author_facet | Cauchi, Antonio Nicole, Marc-Hubert Rosso, Giovanni |
| contents | Let $E/F$ be a quadratic extension of totally real number fields. We show that the generalized Hirzebruch-Zagier cycles arising from the associated Hilbert modular varieties can be put in $p$-adic families. As an application, using the theory of base change, we give a geometric construction of the multivariable $p$-adic adjoint $L$-function twisted by the Hecke character of $E/F$, attached to Hida families of Hilbert modular forms over $F$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02984 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hirzebruch-Zagier cycles in $p$-adic families and adjoint $L$-values Cauchi, Antonio Nicole, Marc-Hubert Rosso, Giovanni Number Theory Let $E/F$ be a quadratic extension of totally real number fields. We show that the generalized Hirzebruch-Zagier cycles arising from the associated Hilbert modular varieties can be put in $p$-adic families. As an application, using the theory of base change, we give a geometric construction of the multivariable $p$-adic adjoint $L$-function twisted by the Hecke character of $E/F$, attached to Hida families of Hilbert modular forms over $F$. |
| title | Hirzebruch-Zagier cycles in $p$-adic families and adjoint $L$-values |
| topic | Number Theory |
| url | https://arxiv.org/abs/2411.02984 |