A sheaf of Hochschild complexes on quasi-compact opens
Algebraic Geometry
2007-07-19 v1
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.
Cite
@article{arxiv.0707.2605,
title = {A sheaf of Hochschild complexes on quasi-compact opens},
author = {Wendy Lowen},
journal= {arXiv preprint arXiv:0707.2605},
year = {2007}
}
Comments
7 pages. To appear in Proc. Amer. Math. Soc