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Results tagged with quasi-coherent-modules
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user 6348
3
votes
Accepted
Basics(?) about quasi-coherent modules on projective schemes
Question 1: The category $C$ is often described as the quotient
$$grMod(A)/TN(A)$$
where we denote by $TN(A)$ we denote The subcategory of $grMod(A)$ of graded modules $M$ such that $I^n m= 0$ for $ …
- 9,229
1
vote
Accepted
Is any "relative support" for (complexes of) quasi-coherent sheaves known?
Perhaps what you need is an action of of a tt-category (in your case $D(R)$) on the category $D_{qc}(X)$ which gives a support in $S$ to quasi-coherent complexes over $X$. This is discussed with great …
- 9,229
5
votes
Accepted
Enough injectives in the category of quasi-coherent sheaves on a stack
In the paper
A functorial formalism for quasi-coherent sheaves on a geometric stack, Expo. Math. 33 (2015) 452–501,
in Corollary 5.10 it is shown that $\mathrm{Qco}(X)$ is a Grothendieck category for …
- 9,229