K\" ahler differentials, pure extensions and minimal key polynomials
J Novacoski, M Spivakovsky - arXiv preprint arXiv:2311.14322, 2023 - arxiv.org
The main object of study in this paper is the module $\Omega $ of K\" ahler differentials of an
extension of valuation rings. We show that in the case of pure extensions $\Omega $ has a …
extension of valuation rings. We show that in the case of pure extensions $\Omega $ has a …
Key polynomials in terms of ultrametric balls
E Nart, J Novacoski, G Peruginelli - arXiv preprint arXiv:2404.08357, 2024 - arxiv.org
In this paper we present characterizations of the sets of key polynomials and abstract key
polynomials for a valuation $\mu $ of $ K (x) $, in terms of (ultrametric) balls in the algebraic …
polynomials for a valuation $\mu $ of $ K (x) $, in terms of (ultrametric) balls in the algebraic …