show/hide this revision's text 2 added 18 characters in body; edited title

Canonical topology on Schthe category of schemes?

Every category admits a Grothendieck topology, called canonical, which is the finest topology which makes representable functor into sheaves.

Is there a concrete description of the canonical topology on $Sch$? the category of schemes? By Grothendieck's results on descent this is at least as fine as the fpqc topology, but I don't even know if the two actually coincide. If not, what is known about it?

show/hide this revision's text 1

Canonical topology on Sch

Every category admits a Grothendieck topology, called canonical, which is the finest topology which makes representable functor into sheaves.

Is there a concrete description of the canonical topology on $Sch$? By Grothendieck's results on descent this is at least as fine as the fpqc topology, but I don't even know if the two actually coincide. If not, what is known about it?