English

Iwasawa Theory of Hilbert modular forms for anticyclotomic extension

Number Theory 2021-03-01 v3

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 22 and general low parallel weight respectively. In this paper, we remove the "Ihara's lemma" condition in their results.

Keywords

Cite

@article{arxiv.1909.10162,
  title  = {Iwasawa Theory of Hilbert modular forms for anticyclotomic extension},
  author = {Bingyong Xie},
  journal= {arXiv preprint arXiv:1909.10162},
  year   = {2021}
}