Abelian varieties without a prescribed Newton Polygon reduction

preprint2014arXivOpen access

Abstract

In this article we construct for each integer n≥2n\ge 2 an abelian variety AA of dimension nn defined over a number field for which there exists a symmetric slope sequence of length 2n2n that does not appear as the slope sequence of A~\widetilde A for all good reductions A~\widetilde A of AA.

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