The correspondence between Barsotti-Tate groups and Kisin modules when p=2
Journal de théorie des nombres de Bordeaux, Volume 25 (2013) no. 3, pp. 661-676.

Let K be a finite extension over 2 and 𝒪 K the ring of integers. We prove the equivalence of categories between the category of Kisin modules of height 1 and the category of Barsotti-Tate groups over 𝒪 K .

Soit K une extension finie de 2 d’anneau des entiers 𝒪 K . Dans cet article, on construit une équivalence de catégories entre la catégorie des modules de Kisin de hauteur 1 et la catégorie des groupes de Barsotti-Tate sur 𝒪 K .

DOI: 10.5802/jtnb.852
Classification: 14F30, 14L05
Liu, Tong 1

1 Department of Mathematics Purdue University West Lafayette, 47907, USA.
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Liu, Tong. The correspondence between Barsotti-Tate groups and Kisin modules when $p=2$. Journal de théorie des nombres de Bordeaux, Volume 25 (2013) no. 3, pp. 661-676. doi : 10.5802/jtnb.852. http://archive.numdam.org/articles/10.5802/jtnb.852/

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