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About Eisenstein's Theorem

2024/12/16 by Rond, Guillaume
#11J81 #13A18 #32A05 #Commutative Algebra (math.AC) #Complex Variables (math.CV) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2412.11738

Abstract

The aim of this survey papier is to present a result due to Eisenstein, to prove a generalized version of it, and to present some applications of this Eisenstein's Theorem, in particular to the study of the algebraic closure of the field of power series in several indeterminates.

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