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arXiv · 0707.2605

A sheaf of Hochschild complexes on quasi-compact opens

Wendy Lowen
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Abstract

For 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.

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Wendy Lowen. 2007-07-17. A sheaf of Hochschild complexes on quasi-compact opens. https://arxiv.org/abs/0707.2605

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