The Stacks project

Definition 42.8.3. Let $(S, \delta )$ be as in Situation 42.7.1. Let $X$ be locally of finite type over $S$. The support of a cycle $\alpha = \sum n_ Z [Z]$ on $X$ is

\[ \text{Supp}(\alpha ) = \bigcup \nolimits _{n_ Z \not= 0} Z \subset X \]

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