On the étale site of a marked scheme
arXiv:1702.03701
Abstract
We verify basic properties of the étale site of a `scheme with marking'. The coverings are étale coverings that split over all marked points. Familiar cases are the small étale site (no marking) and the Nisnevich site (all points are marked). This version 2 closes a small gap in the literature by showing that any Nisnevich covering of a quasi-compact scheme has a finite subcovering.
Improved and extended version of v1