Let be a finite extension over and 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 .
Soit une extension finie de d’anneau des entiers . Dans cet article, on construit une équivalence de catégories entre la catégorie des modules de Kisin de hauteur et la catégorie des groupes de Barsotti-Tate sur .
@article{JTNB_2013__25_3_661_0, author = {Liu, Tong}, title = {The correspondence between {Barsotti-Tate} groups and {Kisin} modules when $p=2$}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {661--676}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {25}, number = {3}, year = {2013}, doi = {10.5802/jtnb.852}, zbl = {06291371}, mrnumber = {3179680}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/jtnb.852/} }
TY - JOUR AU - Liu, Tong TI - The correspondence between Barsotti-Tate groups and Kisin modules when $p=2$ JO - Journal de théorie des nombres de Bordeaux PY - 2013 SP - 661 EP - 676 VL - 25 IS - 3 PB - Société Arithmétique de Bordeaux UR - http://archive.numdam.org/articles/10.5802/jtnb.852/ DO - 10.5802/jtnb.852 LA - en ID - JTNB_2013__25_3_661_0 ER -
%0 Journal Article %A Liu, Tong %T The correspondence between Barsotti-Tate groups and Kisin modules when $p=2$ %J Journal de théorie des nombres de Bordeaux %D 2013 %P 661-676 %V 25 %N 3 %I Société Arithmétique de Bordeaux %U http://archive.numdam.org/articles/10.5802/jtnb.852/ %R 10.5802/jtnb.852 %G en %F JTNB_2013__25_3_661_0
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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