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arXiv · 1007.0607

The ordinarity of an insotrivial elliptic fibration

Junmyeong Jang
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Abstract

In this paper, we study the ordinarity of an isotrivial elliptic surface defined over a field of positive characteristic. If an isotrivial elliptic fibration $π:X \to C$ is given, $X$ is ordinary when the common fiber of $π$ is ordinary and a certain finite cover of the base $C$ is ordinary. By this result, we may obtain the ordinary reduction theorem for some kinds of isotrivial elliptic fibrations.

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Junmyeong Jang. 2010-07-05. The ordinarity of an insotrivial elliptic fibration. https://arxiv.org/abs/1007.0607

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