The Stacks project

111.11 Lisse étale site of an algebraic stack

This has been introduced in Cohomology of Stacks, Section 101.11. An example to show that it is not functorial with respect to $1$-morphisms of algebraic stacks is discussed in Examples, Section 108.55. Of course a lot more could be said about this, but it turns out to be very useful to prove things using the “big” étale site as much as possible.


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