Bivariance, Grothendieck duality and Hochschild homology I: Construction of a bivariant theory
Bivariance, Grothendieck duality and Hochschild homology I: Construction of a bivariant theory
A procedure for constructing bivariant theories by means of Grothendieck duality is developed.This produces, in particular, a bivariant theory of Hochschild (co)homology on the category of schemes that are flat, separated and essentially of finite type over a noetherian scheme S. The theory takes values in the category of symmetric …