English

Framed Deformation of Galois Representation

Number Theory 2008-04-02 v1

Abstract

We studied framed deformations of two dimensional Galois representation of which the residue representation restrict to decomposition groups are scalars, and established a modular lifting theorem for certain cases. We then proved a family version of the result, and used it to determine the structure of deformation rings over characteristic zero fields. These can be applied to the study of exceptional zero of p-adic L-function.

Keywords

Cite

@article{arxiv.0804.0226,
  title  = {Framed Deformation of Galois Representation},
  author = {Lin Chen},
  journal= {arXiv preprint arXiv:0804.0226},
  year   = {2008}
}
R2 v1 2026-06-21T10:26:43.669Z