Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane -- Vaquie

Julie Decaup, Mark Spivakovsky, Wael Mahboub

Let $\iota :(K,\nu )\hookrightarrow (K(x),\mu )$ be a simple purely transcendental extension of valued fields. In order to study such an extension, M. Vaquié, generalizing an earlier construct…