Families of $p$-divisible groups with constant Newton polygon
Families of $p$-divisible groups with constant Newton polygon
复制标题
具有常数牛顿多边形的$p$可整群族
作者：
F. Oort;T. Zink
设\(X\)是在正规诺特概型\(S\)上具有常牛顿多边形的\(p\)-可除群。我们证明存在一个同构\(X\to Y\)，使得\(Y\)允许一个斜率滤过。在\(S\)是正则的情形下，当\(\dim S = 1\)时这由\(N. 卡茨\)证明，当\(\dim S\geq1\)时由\(T. 津克\)证明。
Let X be a p-divisible group with constant Newton poly- gon over a normal Noetherian scheme S. We prove that there exists an isogeny X! Y such that Y admits a slope flltration. In case S is regular this was proved by N. Katz for dim S = 1 and by T. Zink for dim S‚ 1.