Minimal p-divisible groups
Minimal p-divisible groups
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最小 p 可整群
DOI：
10.4007/annals.2005.161.1021
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发表时间：
2004
影响因子：
4.9
通讯作者：
F. Oort
中科院分区：
文献类型：
--
作者：
F. Oort
一个p-可除群X可以看作是一个积木塔，每个积木塔
同构于相同的有限群方案X[p]。显然，如果X1和X2同构
则X1[p]= X2[p];然而，相反地，X1[p]= X2[p]通常并不意味着X1
和X2是同构的。在特征为p的代数闭域上，
条件的p-内核，确保这一匡威？这里有两个已知的例子，
条件：考虑X是普通的情况，或者X是超特殊的情况（X是
超奇异椭圆曲线乘积的p-可分群）;在这些情况下，p-核
唯一确定X。
A p-divisible group X can be seen as a tower of building blocks, each of which
is isomorphic to the same finite group scheme X[p]. Clearly, if X1 and X2 are isomorphic
then X1[p] ∼= X2[p]; however, conversely X1[p] ∼= X2[p] does in general not imply that X1
and X2 are isomorphic. Can we give, over an algebraically closed field in characteristic p, a
condition on the p-kernels which ensures this converse? Here are two known examples of such
a condition: consider the case that X is ordinary, or the case that X is superspecial (X is
the p-divisible group of a product of supersingular elliptic curves); in these cases the p-kernel
uniquely determines X.