I'm a bit confused concerning a definition in Laumon--Moret-Bailly. Perhaps someone could shed some light on the following.
It concerns the definition of (closed) point in Chapter 5. More precisely, in 5.5 they define generization and specialization of points. But what are they really saying there? I mean if both x and y are closed points, then how can one be the generization of the other? What am I missing here?