Lemma 48.24.5 (0BVA)—The Stacks project

Loading web-font TeX/Math/Italic

Table of contents
Part 3: Topics in Scheme Theory
Chapter 48: Duality for Schemes
Section 48.24: Gorenstein schemes
Lemma 48.24.5 (cite)

previous lemma
next lemma

numberstags

history
statistics
4 tags refer to this tag

Lemma 48.24.5. If $f : Y \to X$ is a local complete intersection morphism with $X$ a Gorenstein scheme, then $Y$ is Gorenstein.

Proof. By More on Morphisms, Lemma 37.62.5 it suffices to prove the corresponding statement about ring maps. This is Dualizing Complexes, Lemma 47.21.7. $\square$

Comments (0)

There are also:

4 comment(s) on Section 48.24: Gorenstein schemes

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).

Comments (0)

Post a comment