Geodesic
Hochschild cohomology of complex spaces and Noetherian schemes
Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 299-340.

Voir la notice de l'article provenant de la source International Press of Boston

The classical HKR-theorem gives an isomorphism between the n-th Hochschild cohomology of smooth algebras and the nth 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.
DOI : 10.4310/HHA.2004.v6.n1.a17
Classification : 13D03, 14F43
Keywords: admissible pair of categories, complex space, Hochschild cohomology, regular sequence, scheme 
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Frank Schuhmacher. Hochschild cohomology of complex spaces and Noetherian schemes. Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 299-340. doi : 10.4310/HHA.2004.v6.n1.a17. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a17/

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