p-同构的p-喷流

摘要：

有限平坦映射的p-喷流一般既不是有限的也不是平坦的。这种现象已经可以在群概型的p-同构的情况下看到。然而，对于p-可除群，这种病理往往会在“极限”下模p消失。我们说明这一点的情况下的p-可除群的椭圆曲线和形式群的有限高度;在情况下的正常椭圆曲线的结构在极限取决于塞尔泰特参数。

英文摘要：

p-jets of finite flat maps of schemes are generally neither finite nor flat. This phenomenon can be seen already in the case of p-isogenies of group schemes. However, for p-divisible groups, this pathology tends to disappear mod p "in the limit". We illustrate this in the case of the p-divisible groups of elliptic curves and of formal groups of finite height; in the case of ordinary elliptic curves the structure in the limit depends on the Serre-Tate parameter.

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