The equality between ε(f ) and δ(f ) proved via Newton polygons

Caio Henrique Silva de Souza

doi:10.14244/lajm.v2i02.16

Authors

Caio Henrique Silva de Souza Universidade Federal de São Carlos

DOI:

https://doi.org/10.14244/lajm.v2i02.16

Keywords:

Key polynomials, Newton polygons, MacLane-Vaquié key polynomials, abstract key polynomials

Abstract

In this paper, we reproduce the proof given in [1] of the equality be- tween ε(f) and δ(f), two important objects in Valuation Theory. This proof uses the notion of Newton polygons. We present some details that were omitted in [1] and illustrate a step-by-step construction of a Newton Polygon associated to a specific finite set.

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