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For questions about sheaves on a topological space.
3
votes
Accepted
Sheaves and gratings
I think you may have misunderstood what Cartan was doing. In modern language he defined functors $\Gamma$ from sheaves to gratings and $\mathcal{F}$ from gratings to sheaves but he did not claim that …
3
votes
Accepted
About the construction of the Universal Enveloping Lie Algebroid
Suppose that $X$ is affine.
A natural way to prove that localisation commutes with the universal enveloping Lie algebroid construction is via Rinehart's Theorem 3.1 in "Differential forms on general …
4
votes
Accepted
Is every endomorphism of the sheaf of holomorphic functions on a disk a differential operator?
Probably this paper answers your question negatively.
In particular it shows that if $X$ is an open subset of $\mathbb{C}^n$ and the sheaf $\mathcal{O}$ of holomorphic functions on $X$ is given the …