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• W1606096871 abstract "The bounded derived category of coherent sheaves on a smooth projective variety is known to be equivalent to the triangulated category of perfect modules over a DG algebra. DG algebras, arising in this way, have to satisfy some compactness and smoothness conditions. In this paper, we describe a Serre functor on the category of perfect modules over an arbitrary compact and smooth DG algebra and use it to prove the existence of a non-degenerate pairing on the Hochschild homology of the DG algebra. This pairing is an algebraic analog of a well-known pairing on the Hodge cohomology of a smooth projective variety." @default.
• W1606096871 created "2016-06-24" @default.
• W1606096871 creator A5026818940 @default.
• W1606096871 date "2007-02-20" @default.
• W1606096871 modified "2023-09-27" @default.
• W1606096871 title "On Serre duality for compact homologically smooth DG algebras" @default.
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