On Serre duality for compact homologically smooth DG algebras
| dc.creator | Shklyarov, D. | |
| dc.date | 2007-02-20 | |
| dc.date.accessioned | 2026-07-07T07:47:50Z | |
| dc.date.available | 2026-07-07T07:47:50Z | |
| dc.description | 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. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702590 | |
| dc.identifier | http://arxiv.org/abs/math/0702590 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124301 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 18E30; 16D90 | |
| dc.title | On Serre duality for compact homologically smooth DG algebras | |
| dc.type | text |