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2004 Hochschild cohomology of complex spaces and Noetherian schemes
Frank Schuhmacher
Homology Homotopy Appl. 6(1): 299-340 (2004).


The classical HKR-theorem gives an isomorphism between the n-th Hochschild cohomology of smooth algebras and the n-th exterior power of their module of Kähler differentials. Here, we generalize it for simplicial graded commutative objects in "good pairs of categories". We apply this generalization to complex spaces and Noetherian schemes and deduce several theorems on the decomposition of their respective (relative) Hochschild (co)homologies.


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Frank Schuhmacher. "Hochschild cohomology of complex spaces and Noetherian schemes." Homology Homotopy Appl. 6 (1) 299 - 340, 2004.


Published: 2004
First available in Project Euclid: 13 February 2006

zbMATH: 1070.18010
MathSciNet: MR2084590

Primary: 19D55
Secondary: 14F43

Rights: Copyright © 2004 International Press of Boston

Vol.6 • No. 1 • 2004
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