A canonical generator for congruence ideals of Hida families
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866908816846618624 |
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| author | Maksoud, Alexandre |
| author_facet | Maksoud, Alexandre |
| contents | We construct canonical adjoint $p$-adic $L$-functions generating the congruence ideal attached to Hida families using Ohta's pairing. We show that these $p$-adic $L$-functions, suitably modified by certain Euler factors, are interpolated by a regular element of Hida's universal ordinary Hecke algebra. We also relate them to characteristic series of primitive adjoint Selmer groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16706 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A canonical generator for congruence ideals of Hida families Maksoud, Alexandre Number Theory 11R27 We construct canonical adjoint $p$-adic $L$-functions generating the congruence ideal attached to Hida families using Ohta's pairing. We show that these $p$-adic $L$-functions, suitably modified by certain Euler factors, are interpolated by a regular element of Hida's universal ordinary Hecke algebra. We also relate them to characteristic series of primitive adjoint Selmer groups. |
| title | A canonical generator for congruence ideals of Hida families |
| topic | Number Theory 11R27 |
| url | https://arxiv.org/abs/2312.16706 |