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3 votes
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Do coequalizers in RingSpc automatically lead to descent?

Then there is an equivalence of categories between quasi-coherent sheaves on $Y$ and "descent data" on $X$. … Does that imply that there is a descent diagram for quasi-coherent sheaves? …
Akhil Mathew's user avatar
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8 votes
1 answer
1k views

Schemes do not form a stack in the etale topology?

least) topology, while schemes do not, even though one frequently has (at least in other contexts) to use the fact that, say, affine or quasi-affine schemes do form a stack even in the fpqc topology (by descent … As a result, I'm curious: what is the simplest example of non-gluable (say, etale) descent data for schemes? …
Akhil Mathew's user avatar
  • 25.6k