Applications of duality theory to cousin complexes
| dc.creator | Nayak, Suresh | |
| dc.creator | Sastry, Pramathanath | |
| dc.date | 2005-12-05 | |
| dc.date | 2007-07-10 | |
| dc.date.accessioned | 2026-07-07T08:14:57Z | |
| dc.date.available | 2026-07-07T08:14:57Z | |
| dc.description | We use the anti-equivalence between Cohen-Macaulay complexes and coherent sheaves on formal schemes to shed light on some older results and prove new results. We bring out the relations between a coherent sheaf M satisfying an S_2 condition and the lowest cohomology N of its "dual" complex. We show that if a scheme has a Gorenstein complex satisfying certain coherence conditions, then in a finite étale neighborhood of each point, it has a dualizing complex. If the scheme already has a dualizing complex, then we show that the Gorenstein complex must be a tensor product of a dualizing complex and a vector bundle of finite rank. We relate the various results in [S] on Cousin complexes to dual results on coherent sheaves on formal schemes. | |
| dc.description | 40 pages. Substantially different from earlier version(s). To appear in Journal of Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0512105 | |
| dc.identifier | http://arxiv.org/abs/math/0512105 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133314 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14F05; 14A15; 14F10; 18E30 | |
| dc.title | Applications of duality theory to cousin complexes | |
| dc.type | text |