Anticyclotomic p-ordinary Iwasawa Theory of Elliptic Modular Forms
Number Theory
2017-07-04 v3
Abstract
This is the first in a series of articles where we will study the Iwasawa theory of an elliptic modular form f along the anticyclotomic Zp-tower of an imaginary quadratic field K where the prime p splits completely. Our goal in this portion is to prove the Iwasawa main conjecture for suitable twists of f assuming that f is p-ordinary, both in the definite and indefinite setups simultaneously, via an analysis of Beilinson-Flach elements.
Keywords
Cite
@article{arxiv.1602.07508,
title = {Anticyclotomic p-ordinary Iwasawa Theory of Elliptic Modular Forms},
author = {Kazim Büyükboduk and Antonio Lei},
journal= {arXiv preprint arXiv:1602.07508},
year = {2017}
}
Comments
Some corrections on CM Hida families in Section 3