The anticyclotomic main conjectures for elliptic curves
Number Theory
2026-02-06 v2
Abstract
The goal of this article is to obtain a proof of the Main conjectures of Iwasawa theory for rational elliptic curves over anticyclotomic extensions of imaginary quadratic fields, under mild arithmetic assumptions, both in the case where the rational prime is good ordinary or supersingular.
Keywords
Cite
@article{arxiv.2306.17784,
title = {The anticyclotomic main conjectures for elliptic curves},
author = {Massimo Bertolini and Matteo Longo and Rodolfo Venerucci},
journal= {arXiv preprint arXiv:2306.17784},
year = {2026}
}