How do you describe the normalization of $\mathrm{Spec}(k[[x,y]]/(xy))$? In particular, call this $N$. Why can $N$ be written as the intersection of 2 local rings and the same holds for the maximal ideal (with 2 maximal ideals)?
2026-03-28 06:22:59.1774678979
Normalization of a node
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