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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9934

Title: Global Hochschild (co-)homology of singular spaces
Authors: Buchweitz, Ragnar-Olaf
Flenner, Hubert
Keywords: Global Hochschild
Homology
Singular Spaces
Issue Date: 2000
Publisher: Elsevier Science B.V. Amsterdam
Citation: 2000 Mathematics Subject Classification. 14F43; 13D03; 32C35; 16E40; 18E30.
Abstract: We introduce Hochschild (co-)homology of morphisms of schemes or analytic spaces and study its fundamental properties. In analogy with the cotangent complex we introduce the so called (derived) Hochschild complex of a morphism; the Hochschild cohomology and homology groups are then the Ext and Tor groups of that complex. We prove that these objects are well defined, extend the known cases, and have the expected functorial and homological properties such as graded commutativity of Hochschild cohomology and existence of the characteristic homomorphism from Hochschild cohomology to the (graded) centre of the derived category.
Description: http://arXiv.org/abs/math.AG/0606593
URI: http://hdl.handle.net/1807/9934
ISSN: 0001-8708
Appears in Collections:Mathematics

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