Abelian varieties without a prescribed Newton Polygon reduction

Jiangwei Xue; Chia-Fu Yu

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arXiv · 1311.0613

Abelian varieties without a prescribed Newton Polygon reduction

Jiangwei Xue·Chia-Fu Yu

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Abstract

In this article we construct for each integer $n\ge 2$ an abelian variety $A$ of dimension $n$ defined over a number field for which there exists a symmetric slope sequence of length $2n$ that does not appear as the slope sequence of $\widetilde A$ for all good reductions $\widetilde A$ of $A$.

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Jiangwei Xue, Chia-Fu Yu. 2014-02-25. Abelian varieties without a prescribed Newton Polygon reduction. https://arxiv.org/abs/1311.0613

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