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Let $R$ be a local (Noetherian) integral domain of dimension greater than one. Can the integral closure (i.e. normalization) of $R$ have a maximal ideal of height one?

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Example 2 of Appendix A1 of Nagata's "Local Rings" with $m = 0$ is an example of such a ring.

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  • $\begingroup$ Thanks! By the way, do you know of an example that is excellent (or at least universally catenary)? $\endgroup$ Commented May 16, 2015 at 16:27

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