English

Th\'eorie locale du corps de classes et $(\varphi,\Gamma)$-modules Lubin-Tate

Number Theory 2025-11-19 v1

Abstract

We show how to deduce the determination of the maximal abelian extension of FF, with [F:Qp]<[F:{\mathbf Q}_p]<\infty, from the theory of Lubin-Tate (φ,Γ)(\varphi,\Gamma)-modules.

Keywords

Cite

@article{arxiv.2511.13986,
  title  = {Th\'eorie locale du corps de classes et $(\varphi,\Gamma)$-modules Lubin-Tate},
  author = {Pierre Colmez},
  journal= {arXiv preprint arXiv:2511.13986},
  year   = {2025}
}

Comments

in French language