Hochschild cohomology of complex spaces and Noetherian schemes
Hochschild cohomology of complex spaces and Noetherian schemes
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 …