Lemma 115.23.2. Let $(S, \delta )$ be as in Chow Homology, Situation 42.7.1. Let $X$ be locally of finite type over $S$. Let $X$ be integral and $n = \dim _\delta (X)$. Let $a \in \Gamma (X, \mathcal{O}_ X)$ be a nonzero function. Let $i : D = Z(a) \to X$ be the closed immersion of the zero scheme of $a$. Let $f \in R(X)^*$. In this case $i^*\text{div}_ X(f) = 0$ in $A_{n - 2}(D)$.

Proof. Special case of Chow Homology, Lemma 42.30.1. $\square$

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