Derived equivalences by quantization
| dc.creator | Kaledin, D. | |
| dc.date | 2005-04-28 | |
| dc.date | 2006-09-09 | |
| dc.date.accessioned | 2026-07-07T06:39:52Z | |
| dc.date.available | 2026-07-07T06:39:52Z | |
| dc.description | We assume given a smooth symplectic (in the algebraic sense) resolution $X$ of an affine algebraic variety $Y$, and we prove that, possibly after replacing $Y$ with an etale neighborhood of a point, the derived category of coherent sheaves on $X$ is equivalent to the dervied category of finitely generated left modules over a non-commutative algebra $R$, a non-commutative resolution of $Y$ in a sense close to that of M. Van den Bergh. We also prove some applications, such as: two resolutions are derived-equivalent; every resolution $X$ admits a "resolution of the diagonal"; the cohomology groups of the fibers of the map $X \to Y$ are spanned by fundamental classes of algebraic cycles. | |
| dc.description | Latex 2e, 39 pages. Added a dedication (to J. Bernstein) | |
| dc.identifier | https://arxiv.org/abs/math/0504584 | |
| dc.identifier | http://arxiv.org/abs/math/0504584 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101238 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Derived equivalences by quantization | |
| dc.type | text |