Stable lattices in modular Galois representations and Hida deformation
Number Theory
2018-08-10 v3
Abstract
In this paper, we discuss the variation of the numbers of the isomorphic classes of stable lattices when the weight and the level varies in a Hida deformation by using the Kubota-Leopoldt -adic -function. As a corollary, we give a sufficient condition for the numbers of the isomorphic classes of stable lattices in Hida deformation to be infinite.
Keywords
Cite
@article{arxiv.1801.06961,
title = {Stable lattices in modular Galois representations and Hida deformation},
author = {Dong Yan},
journal= {arXiv preprint arXiv:1801.06961},
year = {2018}
}
Comments
25 pages