Abelian varieties without a prescribed Newton Polygon reduction

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 $\tilde{A}$ for all good reductions $\tilde{A}$ of $A$.

arXiv comment7 pages, reorganized version thank to referee's suggestions