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

Authors

  • Caio Henrique Silva de Souza Universidade Federal de São Carlos

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.

References

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Published

05/10/2023

How to Cite

[1]
Silva de Souza, C.H. 2023. The equality between ε(f ) and δ(f ) proved via Newton polygons. Latin American Journal of Mathematics. 2, 02 (May 2023), 1–17.

Issue

Vol. 2 No. 02 (2023): Proceedings: I Encontro Paulista da Pós-Graduação em Matemáticas (Continuous publishing)

Section

Articles

License

Copyright (c) 2023 Caio Henrique Silva de Souza

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This work is licensed under a Creative Commons Attribution 4.0 International License.

 

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