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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 …
Leonid Positselski's user avatar
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 …
Leonid Positselski's user avatar