Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma
Following Bertolini and Darmon's method, with "Ihara's lemma" among other conditions Longo and Wang proved one divisibility of the Iwasawa main conjecture for Hilbert modular forms of weight 2 and general low even parallel weight in the anticyclotomic setting respectively. In thi...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:286795 |
| Acceso en línea: | https://ddd.uab.cat/record/286795 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6812403 |
| Access Level: | acceso abierto |
| Palabra clave: | Selmer groups P-adic l-functions Iwasawa main conjecture Anticyclotomic extensions |
| Sumario: | Following Bertolini and Darmon's method, with "Ihara's lemma" among other conditions Longo and Wang proved one divisibility of the Iwasawa main conjecture for Hilbert modular forms of weight 2 and general low even parallel weight in the anticyclotomic setting respectively. In this paper, we remove the "Ihara's lemma" condition in their results. |
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