Lefschetz decompositions and Categorical resolutions of singularities
| dc.creator | Kuznetsov, Alexander | |
| dc.date | 2006-09-08 | |
| dc.date | 2006-10-31 | |
| dc.date.accessioned | 2026-07-07T07:24:39Z | |
| dc.date.available | 2026-07-07T07:24:39Z | |
| dc.description | Let $Y$ be a singular algebraic variety and let $\TY$ be a resolution of singularities of $Y$. Assume that the exceptional locus of $\TY$ over $Y$ is an irreducible divisor $\TZ$ in $\TY$. For every Lefschetz decomposition of $\TZ$ we construct a triangulated subcategory $\TD \subset \D^b(\TY)$ which gives a desingularization of $\D^b(Y)$. If the Lefschetz decomposition is generated by a vector bundle tilting over $Y$ then $\TD$ is a noncommutative resolution, and if the Lefschetz decomposition is rectangular, then $\TD$ is a crepant resolution. | |
| dc.description | 24 pages; the proof of the main theorem rewritten, a section on functoriality is added | |
| dc.identifier | https://arxiv.org/abs/math/0609240 | |
| dc.identifier | http://arxiv.org/abs/math/0609240 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116440 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Lefschetz decompositions and Categorical resolutions of singularities | |
| dc.type | text |