Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara’s lemma

• Autores: Bingyong Xie
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 68, Nº. 1, 2024, págs. 41-71
• Idioma: inglés
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• Resumen

  • 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.