Timeline for Is the normalisation of an integral noetherien dimension one ring a finite morphism?
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| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 16, 2011 at 18:25 | comment | added | Qing Liu | More details in my book, Example 8.2.31. | |
| Dec 16, 2011 at 18:23 | comment | added | Qing Liu | Let $p$ be a prime number. Let $s \in {\mathbb F}_p[[t]]$ be transcendent over ${\Bbb F}_p(t)$ and let $K=\mathbb F_p(t, s^p)\subset {\mathbb F}_p((t))$. The discrete valuation of ${\mathbb F}_p((t))$ induces a discrete valuation on $K$. The corresponding discrete valuation ring $R$ is non-excellent because its integral closure in $K[s]$ is not finite over $R$. | |
| Dec 16, 2011 at 18:10 | comment | added | Keerthi Madapusi | What's an example of a non-excellent DVR? | |
| Dec 16, 2011 at 18:08 | history | answered | Qing Liu | CC BY-SA 3.0 |