Dualité de Cartier et modules de Breuil

Xavier Caruso

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Dualité de Cartier et modules de Breuil

Xavier Caruso

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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).

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Xavier Caruso. 2005-11-16. Dualité de Cartier et modules de Breuil. https://arxiv.org/abs/math/0511423

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