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math.AC2026
Geometric configuration of integrally closed Noetherian domains
Gyu Whan Chang, Giulio Peruginelli
In this paper, we completely describe the family of integrally closed Noetherian domains between and . We accomplish this result by classifying the K…
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…