Example 62.5.4. Let f : X \to S be a morphism of schemes which is locally of finite type. Let r \geq 0 be an integer. Let Z \subset X be a closed subscheme. For s \in S denote Z_ s the inverse image of Z in X_ s or equivalently the scheme theoretic fibre of Z at s viewed as a closed subscheme of X_ s. Assume \dim (Z_ s) \leq r for all s \in S. Then we can associate to Z the family [Z/X/S]_ r of r-cycles on fibres of X/S defined by the formula
where [Z_ s]_ r is given by Chow Homology, Definition 42.9.2.
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