English

Structures de Hodge-Pink pour les $\varphi/\mathfrak S$-modules de Breuil et Kisin

Number Theory 2019-02-20 v1 Algebraic Geometry

Abstract

In this article, we apply the methods of our work on Fontaine's theory in equal characteristics to the φ/S\varphi/\mathfrak S-modules of Breuil and Kisin. Thanks to a previous article of Kisin, this yields a new and rather elementary proof of the theorem "weakly admissible implies admissible" of Colmez-Fontaine.

Keywords

Cite

@article{arxiv.1202.6571,
  title  = {Structures de Hodge-Pink pour les $\varphi/\mathfrak S$-modules de Breuil et Kisin},
  author = {Alain Genestier and Vincent Lafforgue},
  journal= {arXiv preprint arXiv:1202.6571},
  year   = {2019}
}
R2 v1 2026-06-21T20:26:58.539Z