Lemma 48.24.3 (0DWG)—The Stacks project

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Part 3: Topics in Scheme Theory
Chapter 48: Duality for Schemes
Section 48.24: Gorenstein schemes
Lemma 48.24.3 (cite)

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Lemma 48.24.3. A regular scheme is Gorenstein.

Proof. Looking affine locally this follows from the corresponding result in algebra, namely Dualizing Complexes, Lemma 47.21.3. $\square$

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