Definition 41.21.4. Let $X$ be a locally Noetherian scheme. A *normal crossings divisor* on $X$ is an effective Cartier divisor $D \subset X$ such that for every $p \in D$ there exists an étale morphism $U \to X$ with $p$ in the image and $D \times _ X U$ a strict normal crossings divisor on $U$.

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