Resumen de 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 this paper, we remove the “Ihara’s lemma” condition in their results.
