Derived McKay correspondence via pure-sheaf transforms
| dc.creator | Logvinenko, Timothy | |
| dc.date | 2006-06-30 | |
| dc.date | 2008-02-04 | |
| dc.date.accessioned | 2026-07-07T09:18:20Z | |
| dc.date.available | 2026-07-07T09:18:20Z | |
| dc.description | In most cases where it had been shown to exist the derived McKay correspondence D(Y) --> D^G(C^n) can be written as a Fourier-Mukai transform which sends point sheaves of the crepant resolution Y to pure sheaves in D^G(C^n). We give a sufficient condition for an object of D^G(Y x C^n) to be the defining object of such a transform. We use it to construct the first example of the derived McKay correspondence for a non-projective crepant resolution of C^3/G. Along the way we extract some more geometric sense out of the Intersection Theorem and learn to explicitly compute theta-stable families of G-constellations and their direct transforms. | |
| dc.description | 28 pages; 16 figures; v2.0, substantial revisions to all sections of the paper; To appear in Math. Ann | |
| dc.identifier | https://arxiv.org/abs/math/0606791 | |
| dc.identifier | http://arxiv.org/abs/math/0606791 | |
| dc.identifier | doi:10.1007/s00208-007-0186-z | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153988 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E15; 14J10; 18E30 | |
| dc.title | Derived McKay correspondence via pure-sheaf transforms | |
| dc.type | text |