Derived equivalences induced by good silting complexes

Abstract

Consider a (possibly big) silting object $U$ in a derived category over a (dg-)algebra $A$. Under some fairly general appropriate hypotheses, we show that it induces derived equivalences between the derived category over $A$ and a localization of the derived category of dg-endomorphism algebra $B$ of $U$. If, in addition, $U$ is small then this localization is the whole derived category over $B$.Comment: The authors were informed that the main results of this work are essentially contained in [19]. Consequently, except the exposition of the paper, no claim of originality is mad