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arXiv · 1510.07772

On a conjecture of Wan about limiting Newton polygons

Yi Ouyang·Jinbang Yang
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Abstract

We show that for a monic polynomial $f(x)$ over a number field $K$ containing a global permutation polynomial of degree $>1$ as its composition factor, the Newton Polygon of $f\mod\mathfrak p$ does not converge for $\mathfrak p$ passing through all finite places of $K$. In the rational number field case, our result is the "only if" part of a conjecture of Wan about limiting Newton polygons.

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Yi Ouyang, Jinbang Yang. 2015-10-27. On a conjecture of Wan about limiting Newton polygons. https://arxiv.org/abs/1510.07772

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