A criterion for regularity of local rings
| dc.creator | Bridgeland, Tom | |
| dc.creator | Iyengar, Srikanth | |
| dc.date | 2006-02-11 | |
| dc.date | 2006-04-05 | |
| dc.date.accessioned | 2026-07-07T07:03:19Z | |
| dc.date.available | 2026-07-07T07:03:19Z | |
| dc.description | It is proved that a noetherian commutative local ring A containing a field is regular if there is a complex M of free A-modules with the following properties: M_i=0 for i not in [0,dim A]; the homology of M has finite length; H_0(M) contains the residue field of A as a direct summand. This result is an essential component in the proofs of the McKay correspondence in dimension 3 and of the statement that threefold flops induce equivalences of derived categories. | |
| dc.description | 4 pages. Minor revisions. To appear in C. R. Acad. Sci. Paris, Ser. I | |
| dc.identifier | https://arxiv.org/abs/math/0602235 | |
| dc.identifier | http://arxiv.org/abs/math/0602235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108929 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D22 (Primary) 13D 25; 14E99 (Secondary) | |
| dc.title | A criterion for regularity of local rings | |
| dc.type | text |