A Sheaf of Hochschild Complexes on Quasi-compact Opens
نویسنده
چکیده
For a scheme X, we construct a sheaf C of complexes on X such that for every quasi-compact open U ⊂ X, C(U) is quasi-isomorphic to the Hochschild complex of U [11]. Since C is moreover acyclic for taking sections on quasi-compact opens, we obtain a local to global spectral sequence for Hochschild cohomology if X is quasi-compact.
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تاریخ انتشار 2008