Dualit\'{e} de Cartier et modules de Breuil
Number Theory
2007-05-23 v1
Abstract
Let O\_K be a complete discrete valuation ring. Denote by K its fractions field and by k its residue field. Assume that k is of characteristic p>0 and perfect. Breuil gives an anti-equivalence between the category of finite flat O\_K-group schemes killed by a power of p and a category of linear algebra objects which is called (Mod/S). The aim of this article is to make explicit the Cartier duality on the category (Mod/S).
Cite
@article{arxiv.math/0511423,
title = {Dualit\'{e} de Cartier et modules de Breuil},
author = {Xavier Caruso},
journal= {arXiv preprint arXiv:math/0511423},
year = {2007}
}