Local model theory for non-generic tame potentially Barsotti--Tate deformation rings

Bao Viet Le Hung; Ariane Mézard; Stefano Morra

Local model theory for non-generic tame potentially Barsotti--Tate deformation rings

Number Theory 2024-02-14 v4

Authors: Bao Viet Le Hung , Ariane Mézard , Stefano Morra

Abstract

We develop a local model theory for moduli stacks of $2$ -dimensional non-scalar tame potentially Barsotti--Tate Galois representations of the Galois group of an unramified extension of $\mathbb{Q}_p$ . We derive from this explicit presentations of potentially Barsotti--Tate deformation rings, allowing us to prove structural results about them, and prove various conjectures formulated by Caruso--David--M\'ezard.

Keywords

local model theory deformation rings Barsotti–Tate representations Galois representations moduli stacks

Cite

@article{arxiv.2311.16617,
  title  = {Local model theory for non-generic tame potentially Barsotti--Tate deformation rings},
  author = {Bao Viet Le Hung and Ariane Mézard and Stefano Morra},
  journal= {arXiv preprint arXiv:2311.16617},
  year   = {2024}
}

Comments

Various typos fixed

Local model theory for non-generic tame potentially Barsotti--Tate deformation rings

Abstract

Keywords

Cite

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