Abstract
For the exploration of the Hochschild homology and cohomology sheaves Tors(0,F) and Exts(0,F) of a complex space (X,0), where F is a coherent 0-Module and\(S: = 0\widehat \otimes 0\), an S-free resolution of 0 is needed. Such a resolution M we construct starting from an imbedding of X in an open subset of
. In order to show that M is acyclic we investigate analytic tensor products and prove the analytic tensor product of an analytic local algebra with an analytic module is in a sense relatively projective, while analytic module homomorphisms are relatively split.
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Wolffhardt, K. Zur lokalen Hochschild-Homologie eines komplexen Raums. Manuscripta Math 37, 27–47 (1982). https://doi.org/10.1007/BF01239943
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DOI: https://doi.org/10.1007/BF01239943