Extensions of rank one (phi, Gamma)-modules and crystalline representations
Number Theory
2021-11-22 v2
Abstract
Let K be a finite unramified extension of Q_p. We parametrize the (phi, Gamma)-modules corresponding to reducible two-dimensional mod p representations of G_K and characterize those which have reducible crystalline lifts with certain Hodge-Tate weights.
Keywords
Cite
@article{arxiv.0910.2371,
title = {Extensions of rank one (phi, Gamma)-modules and crystalline representations},
author = {Seunghwan Chang and Fred Diamond},
journal= {arXiv preprint arXiv:0910.2371},
year = {2021}
}
Comments
Final version. To Appear in Compositio Math