16 citations · 72 across the 55 of their papers we have counts for
3 papers · 1 filter
Tame Key polynomials
Arpan Dutta, Franz-Viktor Kuhlmann
We introduce a new method of constructing complete sequences of key polynomials for simple extensions of tame fields. In our approach the key polynomials are taken to be the minima…
Dynamic computations inside the algebraic closure of a valued field
Franz-Viktor Kuhlmann, Henri Lombardi, Hervé Perdry
We explain how to compute in the algebraic closure of a valued field. These computations heavily rely on the \NPAz. They are made in the same spirit as the dynamic algebraic closur…
Construction du hensélisé d'un corps valué
Henri Lombardi, Franz-Viktor Kuhlmann
We give an explicit construction of the henselization of a valued field, with a constructive proof. It is analogous to the construction of the real closure of a discrete ordered fi…