Iwasawa Theory of Hilbert modular forms for anticyclotomic extension

Abstract

Following Bertolini and Darmon's method, with "Ihara's lemma" among other conditions Longo and Wang proved one divisibility of Iwasawa main conjecture for Hilbert modular forms of weight $2$ and general low parallel weight respectively. In this paper, we remove the "Ihara's lemma" condition in their results.

References in corpus (1)

• Ihara's lemma for Shimura curves over totally real fields via patching