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Results tagged with flatness
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user 2106
8
votes
Existence of functorial (K-)flat resolutions?
I'd guess that if $X$ is a reasonable scheme or stack, then $\operatorname{QCoh}(X)$ is, at least, a Grothendieck abelian category. In particular, it has a generator $G$.
If $X$ has resolution proper …
- 15.6k
9
votes
Accepted
Existence of functorial (K-)flat resolutions?
Another and more "modern" approach would be using the construction of the complete cotorsion pair ("a half of an abelian model structure") generated by a generating set of objects in a Grothendieck ab …
- 15.6k