27 citations · 78 across the 35 of their papers we have counts for
45 papers
Depth of extensions of valuations
Josnei Novacoski, Enric Nart
In this paper we develop the theory of the depth of a simple algebraic extension of valued fields . This is defined as the minimal number of augmentations appearing in som…
Okutsu sequences in Henselian fields
Enric Nart
For a Henselian valued field, let with minimal polynomial over . Okutsu sequences of have been defined only when the extension is def…
A topological approach to key polynomials
Enric Nart, Josnei Novacoski, Giulio Peruginelli
In this paper we present characterizations of the sets of key polynomials and abstract key polynomials for a valuation of , in terms of (ultrametric) balls in the algebra…
Minimal limit key polynomials
Enric Nart, Josnei Novacoski
In this paper, we extend the theory of minimal limit key polynomials of valuations on the polynomial ring $\kx$. We use the theory of cuts on ordered abelian groups to show that th…
Geometric parametrization of valuations on a polynomial ring
Enric Nart, Josnei Novacoski
We extend and prove a conjecture of Benguş-Lasnier on the parametrization of valuations on a polynomial ring by certain spaces of diskoids.
The defect formula
Josnei Novacoski, Enric Nart
In this paper we present a characterization for the defect of a simple algebraic extensions of valued fields. This characterization generalizes the known result for the henselian c…