一类p-adic微分方程II的收敛牛顿多边形：Berkovich曲线上的连续性和有限性
The convergence Newton polygon of a p-adic differential equation II: Continuity and finiteness on Berkovich curves
摘要：
研究了特征为0的非阿基米德完备域上微分方程收敛牛顿多边形沿光滑Berkovich曲线的变化。依靠工作的第二作者谁调查其性质的仿射仿射直线，我们证明了它的斜率产生的连续函数的因式分解的收缩通过局部有限的子图的曲线。
英文摘要：
We study the variation of the convergence Newton polygon of a differential equation along a smooth Berkovich curve over a non-archimedean complete valued field of characteristic 0. Relying on work of the second author who investigated its properties on affinoid domains of the affine line, we prove that its slopes give rise to continuous functions that factorize by the retraction through a locally finite subgraph of the curve.
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