Spectrum of a linear differential equation over a field of formal power series

被引：1
|
作者：
Azzouz, Tinhinane A. [1 ,2 ]
机构：
[1] Univ Grenoble Alpes, Inst Fourier, CNRS, F-38000 Grenoble, France
[2] Univ Alger 1, 02 Rue Didouche Mourad, Algiers, Algeria
来源：
JOURNAL OF NUMBER THEORY | 2022年 / 231卷
关键词：
Berkovich spaces; Spectral theory; Ultrametric differential equations; INDEX THEOREM;
D O I：
10.1016/j.jnt.2020.11.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (c) 2020 Elsevier Inc. All rights reserved.
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页码：139 / 157
页数：19
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