Hochschild (Co-)Homology of Schemes with Tilting Object

Ragnar-Olaf Buchweitz, Lutz Hille

Given a $k$--scheme $X$ that admits a tilting object $T$, we prove that the Hochschild (co-)homology of $X$ is isomorphic to that of $A=En{d}_X(T)$. We treat more generally the re…