Definition 36.6.1 (08DA)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 36: Derived Categories of Schemes
Section 36.6: Cohomology with support in a closed subset
Definition 36.6.1 (cite)

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Definition 36.6.1. Let $X$ be a scheme. Let $E$ be an object of $D(\mathcal{O}_ X)$ . Let $T \subset X$ be a closed subset. We say $E$ is supported on $T$ if the cohomology sheaves $H^ i(E)$ are supported on $T$ .

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