Freeness of $p$-adically Completed Modular Jacobians over a Hecke Algebra
Number Theory
2019-04-15 v1
Abstract
We construct a Taylor-Wiles system using a family of -adically completed modular Jacobians over suitable Hecke algebras and prove that certain -adically completed Mordell-Weil groups of these Jacobians is free of finite rank over a Hecke algebra.
Keywords
Cite
@article{arxiv.1904.05942,
title = {Freeness of $p$-adically Completed Modular Jacobians over a Hecke Algebra},
author = {John Yu},
journal= {arXiv preprint arXiv:1904.05942},
year = {2019}
}