English

Reductions of certain 3-dimensional crystalline representations

Number Theory 2021-07-26 v1

Abstract

We compute reduction ρˉ\bar \rho of 3-dimensional irreducible crystalline representations ρ\rho of GQpG_{\mathbb Q_p} with Hodge-Tate weights {0,r,s}\{0, r , s\} satisfying 2rp2,  2+psr+p2.2 \leq r \leq p-2, \ \ 2+p \leq s \leq r + p-2. If ρˉ\bar \rho is irreducible then we show that the generic fiber of crystalline universal deformation ring of ρˉ\bar \rho is connected.

Keywords

Cite

@article{arxiv.2107.11009,
  title  = {Reductions of certain 3-dimensional crystalline representations},
  author = {Tong Liu},
  journal= {arXiv preprint arXiv:2107.11009},
  year   = {2021}
}

Comments

23 pages

R2 v1 2026-06-24T04:27:02.078Z