2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134607For a scheme X, we construct a sheaf C of complexes on X such that for every quasi-compact open subset U of X, C(U) is quasi-isomorphic to the Hochschild complex of the scheme U. 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.7 pages. To appear in Proc. Amer. Math. SocAlgebraic Geometry18E15, 18F20text