Lemma 37.62.14. Let $i : X \to Y$ be an immersion. If
$i$ is perfect,
$Y$ is locally Noetherian, and
the conormal sheaf $\mathcal{C}_{X/Y}$ is finite locally free,
then $i$ is a regular immersion.
Lemma 37.62.14. Let $i : X \to Y$ be an immersion. If
$i$ is perfect,
$Y$ is locally Noetherian, and
the conormal sheaf $\mathcal{C}_{X/Y}$ is finite locally free,
then $i$ is a regular immersion.
Proof. Translated into algebra, this is Divided Power Algebra, Proposition 23.11.3. $\square$
Your email address will not be published.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).
All contributions are licensed under the GNU Free Documentation License.
Comments (0)
There are also: