Key polynomials for simple extensions of valued fields

F. J. Herrera Govantes, W. Mahboub, M. A. Olalla Acosta +1

Let $\iota :K\hookrightarrow L\cong K(x)$ be a simple transcendental extension of valued fields, where $K$ is equipped with a valuation $\nu$ of rank 1. That is, we assume given a rank 1…