Key polynomials, separate and immediate valuations, and simple extensions of valued fields

Gérard Leloup

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arXiv · 1809.07092

Key polynomials, separate and immediate valuations, and simple extensions of valued fields

Gérard Leloup

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Abstract

We give a first-order definition of key polynomials, we show the links with previous definitions, that it is relevant to study key degrees, and to use a kind of valuations that we call partially multiplicative. We also prove or reprove several properties.

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Gérard Leloup. 2022-05-18. Key polynomials, separate and immediate valuations, and simple extensions of valued fields. https://arxiv.org/abs/1809.07092

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