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user 11640
For questions related to the mathematical notion of site, which among others generalizes the notion of topological space. For questions on internet-sites, use online-resources, but note that these questions need to be very specific to research-level mathematics to be on-topic.
3
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Accepted
1st cech cohomology groups on ringed sites
First things first: $\check{H}{}^n(U, \mathscr{F})$ (resp. $H^n(U, \mathscr{F})$) are same whether you regard $\mathscr{F}$ as an $\mathscr{O}$-module or as an abelian sheaf, so we may simplify things …
- 15.8k
2
votes
A confusion about covering flatness
Your proof is correct and your "counterexample" is wrong.
Here's how I prefer to think of the definition of "covering-flat": a diagram $F : \mathcal{C} \to \mathcal{D}$ is covering-flat if and only …
- 15.8k