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from Part I - Tools of p-adic Analysis
Published online by Cambridge University Press: 06 August 2022
In this chapter, we recall the traditional theory of Newton polygons for polynomials over a nonarchimedean field. In the process, we introduce a general framework which will allow us to consider Newton polygons in a wider range of circumstances; this framework is based on a version of Hensel’s lemma that applies in not necessarily commutative rings. As a first application, we fill in a few missing proofs from Chapter 1.
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