Let $V,V'$ be two discrete valuation rings of a field $K$. Then $A:=V\cap V'$ is a normal domain. Can we say anything more about $A$? For example, can we say that $A$ is Noetherian/one-dimensional? Is $K$ the field of fractions of $A$?
2026-03-29 05:35:22.1774762522
Intersection of two discrete valuation rings
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