The Stacks project

Remark 82.5.1. In Situation 82.2.1 let $X/B$ be good. Let $Y \subset X$ be a closed subspace. By Remarks 82.2.2 and 82.2.3 there are $1$-to-$1$ correspondences between

  1. irreducible components $T$ of $|Y|$,

  2. generic points of irreducible components of $|Y|$, and

  3. integral closed subspaces $Z \subset Y$ with the property that $|Z|$ is an irreducible component of $|Y|$.

In this chapter we will call $Z$ as in (3) an irreducible component of $Y$ and we will call $\xi \in |Z|$ its generic point.

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View Remark 82.5.1 as pdf