Lemma 110.39.1. There exists a local homomorphism $A \to B$ of local domains which is essentially of finite type and such that $A/\mathfrak m_ A \to B/\mathfrak m_ B$ is finite such that for every prime $\mathfrak q \not= \mathfrak m_ B$ of $B$ the ring map $A \to B/\mathfrak q$ is not the localization of a quasi-finite ring map.

**Proof.**
See the discussion above.
$\square$

## Post a comment

Your email address will not be published. Required fields are marked.

In your comment you can use Markdown and LaTeX style mathematics (enclose it like `$\pi$`

). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).

Unfortunately JavaScript is disabled in your browser, so the comment preview function will not work.

All contributions are licensed under the GNU Free Documentation License.

## Comments (0)