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Results tagged with sheaf-cohomology
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user 31233
16
votes
1
answer
1k
views
Does every sheaf embed into a quasicoherent sheaf?
Question. Let $X$ be a scheme. Let $\mathcal{E}$ be a sheaf of $\mathcal{O}_X$-modules. Is there always a quasicoherent sheaf $\mathcal{E}'$ together with a monomorphism $\mathcal{E} \to \mathcal{E}'$ …
- 3,312
6
votes
1
answer
377
views
Elementary proof of the exactness of Čech complex associated to a hypercovering ("Illusie's ...
Let $\mathcal{E}$ be a sheaf of abelian groups on a topological space (or a site). For an open covering $\mathfrak{U} = (U_i)_i$, it is well known that the augmented Čech complex $0 \to \mathcal{E} \t …
- 3,312