G. Chang

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math.AC2026

Approximating DVRs by elements of bounded ramification

Gyu Whan Chang, Giulio Peruginelli

Let $V$ be a DVR with quotient field $K$ and perfect residue field, $v$ be the valuation on $K$ associated with $V$ , $K$ be the completion of $K$ , and $K$ be the…

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 $Z [X]$ and $Q [X]$ . We accomplish this result by classifying the K…