On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights
Number Theory
2019-09-30 v1
Abstract
In this article, we study the Iwasawa theory for Hilbert modular forms over the anticyclotomic extension of a CM field. We prove a one sided divisibility result toward the Iwasawa main conjecture. The proof relies on the first and second reciprocity law relating theta elements to Heegner points Euler system. As a by-product we also prove certain Bloch-Kato type result in the rank case and a parity conjecture
Keywords
Cite
@article{arxiv.1909.12374,
title = {On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights},
author = {Haining Wang},
journal= {arXiv preprint arXiv:1909.12374},
year = {2019}
}
Comments
This is author's Penn State thesis