Abstract
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 and general low even parallel weight in the anticyclotomic setting respectively. In this paper, we remove the “Ihara’s lemma” condition in their results.
Funding Statement
This paper is supported by the National Natural Science Foundation of China (grant 12231001), and by the Science and Technology Commission of Shanghai Municipality (no. 22DZ2229014). The author is supported by Fundamental Research Funds for the Central Universities.
Citation
Bingyong Xie. "IWASAWA THEORY OF HILBERT MODULAR FORMS FOR ANTICYCLOTOMIC EXTENSIONS WITHOUT IHARA’S LEMMA." Publ. Mat. 68 (1) 41 - 71, 2024. https://doi.org/10.5565/PUBLMAT6812403
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