Definition 82.13.1. In Situation 82.2.1 let $X/B$ be good. Assume $X$ is integral with $\dim _\delta (X) = n$. Let $f \in R(X)^*$. The principal divisor associated to $f$ is the $(n - 1)$-cycle
\[ \text{div}(f) = \text{div}_ X(f) = \sum \text{ord}_ Z(f) [Z] \]
defined in Spaces over Fields, Definition 72.6.7. This makes sense because prime divisors have $\delta $-dimension $n - 1$ by Lemma 82.12.1.
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