The Stacks project

Definition 17.24.2. Let $X$ be a ringed space and let $f_1, \ldots , f_ n \in \Gamma (X, \mathcal{O}_ X)$. The Koszul complex on $f_1, \ldots , f_ n$ is the Koszul complex associated to the map $(f_1, \ldots , f_ n) : \mathcal{O}_ X^{\oplus n} \to \mathcal{O}_ X$. Notation $K_\bullet (\mathcal{O}_ X, f_1, \ldots , f_ n)$, or $K_\bullet (\mathcal{O}_ X, f_\bullet )$.

Comments (2)

Comment #10774 by Marco Eibrink on

Typo in Definition 17.24.2: It should say "" instead of "" at the beginning of the second sentence.

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View Definition 17.24.2 as pdf