On Anticyclotomic Iwasawa Theory of Hecke Characters at Ordinary Primes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910745723142144 |
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| author | Isik, Erman |
| author_facet | Isik, Erman |
| contents | In this article we study the Iwasawa theory for Hecke characters associated with CM abelian varieties and Hilbert modular forms at ordinary primes. We formulate and prove a result concerning the anticyclotomic Iwasawa main conjecture for CM Hilbert modular forms. Additionally, we obtain a result towards the study of the Mordell-Weil ranks of the CM abelian varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10980 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Anticyclotomic Iwasawa Theory of Hecke Characters at Ordinary Primes Isik, Erman Number Theory 11R23, 11G05, 11R20 In this article we study the Iwasawa theory for Hecke characters associated with CM abelian varieties and Hilbert modular forms at ordinary primes. We formulate and prove a result concerning the anticyclotomic Iwasawa main conjecture for CM Hilbert modular forms. Additionally, we obtain a result towards the study of the Mordell-Weil ranks of the CM abelian varieties. |
| title | On Anticyclotomic Iwasawa Theory of Hecke Characters at Ordinary Primes |
| topic | Number Theory 11R23, 11G05, 11R20 |
| url | https://arxiv.org/abs/2412.10980 |