Corpus ID: 237562969

# Iwasawa-Greenberg main conjecture for non-ordinary modular forms and Eisenstein congruences on $\mathrm{GU}(3,1)$

@inproceedings{Castella2021IwasawaGreenbergMC,
title={Iwasawa-Greenberg main conjecture for non-ordinary modular forms and Eisenstein congruences on \$\mathrm\{GU\}(3,1)\$},
author={Francesc Castella and Zheng Liu and Xin Wan},
year={2021}
}
In this paper we prove one side divisibility of the Iwasawa-Greenberg main conjecture for Rankin-Selberg product of a weight two cusp form and an ordinary CM form of higher weight, using congruences between Klingen Eisenstein series and cusp forms on $\mathrm{GU}(3,1)$, generalizing earlier result of the third-named author to allow non-ordinary cusp forms. The main result is a key input in the third author's proof for Kobayashi's $\pm$-main conjecture for supersingular elliptic curves. The new… Expand