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Results tagged with grothendieck-topology
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user 11546
5
votes
Can we just use effective descent morphisms (pure morphisms) as covers?
Every faithfully flat morphism is of effective descent. However, the topology consisting of all faithfully flat morphisms is not subcanonical (i.e. it is not the case that every representable functor …
- 10.5k
27
votes
1
answer
948
views
Can we just use effective descent morphisms (pure morphisms) as covers?
There are a number of notions of "cover" for a scheme: etale, faithfully flat, fpqc, fppf, Zariski, Nisnevich, etc. Most of these have a nice property, which is that a cover of that type satisfies eff …
- 10.5k