Spectrum of a linear differential equation over a field of formal power series - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2019

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

Tinhinane Amina Azzouz

Résumé

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 will compute this spectrum and show that it contains interesting informations about the equation.
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hal-01853797 , version 2 (14-03-2019)

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Tinhinane Amina Azzouz. Spectrum of a linear differential equation over a field of formal power series. 2019. ⟨hal-01853797⟩
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