In this paper, we study the structure of the graded ring associated to a limit key polynomial Q
n in terms of the key polynomials that define Q n. In order to do that, we use direct limits. In …

We consider plane divisorial valuations of Hirzebruch surfaces and introduce the concepts
of non-positivity and negativity at infinity. We prove that the surfaces given by valuations of …

In this paper, we link the concept of tame field to the study of graded rings and complete
sequences of key polynomials. We review some definitions and results on the theory of key …

In this paper, we link the concept of tame field to the study of graded rings and complete
sequences of key polynomials. We review some definitions and results on the theory of key …

Let $ R $ be a complete equicharacteristic noetherian local domain and $\nu $ a valuation of
its field of fractions whose valuation ring dominates $ R $ with trivial residue field extension …

Iniciamos este trabalho com um estudo da álgebra graduada associada a uma valorização
ν: K−→ Γ∞. Mostramos que nos casos em que o grupo de valores é livre ou o corpo do …