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

Abstract : 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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https://hal.archives-ouvertes.fr/hal-01853797
Contributor : Tinhinane Amina Azzouz <>
Submitted on : Thursday, March 14, 2019 - 2:52:14 PM
Last modification on : Sunday, September 8, 2019 - 8:42:37 PM

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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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