Iwasawa Theory of Hilbert modular forms for anticyclotomic extension

Published 23 Sep 2019 in math.NT | (1909.10162v3)

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.

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Bingyong Xie

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