The correspondence between Barsotti-Tate groups and Kisin modules when $p=2$

The correspondence between Barsotti-Tate groups and Kisin modules when $p=2$
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$p=2$时Barsotti-Tate群与Kisin模块的对应关系

DOI:
10.5802/jtnb.852
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发表时间:
2013
影响因子:
0.4
通讯作者:
Tongyin Liu
Tongyin Liu
中科院分区:
数学4区
文献类型:
--
作者:
Tongyin Liu

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设K是Q2上的有限扩展,OK是整数环。证明了高度为1的Kisin模的范畴与OK上Barsotti-Tate群的范畴之间的范畴等价。
Let K be a finite extension over Q2 and OK 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 OK .