2 papers
math.AC2026
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 algebr…
math.AC2025
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…