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Spectrum of a linear differential equation over a field of formal power series
Journal of Number Theory ( IF 0.7 ) Pub Date : 2021-01-06 , DOI: 10.1016/j.jnt.2020.11.021
Tinhinane A. Azzouz

In this paper we associate to a linear differential equation with coefficients in the field of Laurent formal power series a new geometric object, a spectrum in the sense of Berkovich. We compute this spectrum and show that it contains interesting information about the equation.



中文翻译:

形式幂级数域上线性微分方程的谱

在本文中,我们将一个线性微分方程与 Laurent 形式幂级数领域中的系数联系起来,一个新的几何对象,Berkovich 意义上的频谱。我们计算这个频谱并表明它包含有关方程的有趣信息。

更新日期:2021-01-06
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